In the diagram, which two angles are alternate interior angles with angle 14?
4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12.
9 answers
Angles 3 and 11 are the alternate interior angles with angle 14.
In the diagram, which two angles are alternate interior angles with angle 14?
4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12.
4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12.
Angles 3 and 11 are the alternate interior angles with angle 14.
In the diagram, the measure of angle 6 is 98°.
A transversal intersects 2 lines to form 8 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 7?
A transversal intersects 2 lines to form 8 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 7?
If angles 5 and 6 are alternate interior angles, then they are congruent. Thus, angle 5 is also 98°.
Angles 6 and 7 are corresponding angles, which means they are congruent. Therefore, angle 7 is also 98°.
Angles 6 and 7 are corresponding angles, which means they are congruent. Therefore, angle 7 is also 98°.
In the diagram, the measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°.
A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 7, to the nearest degree?
A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.
What is the measure of angle 7, to the nearest degree?
Angles 2 and 7 are corresponding angles, which means they are congruent. Therefore, angle 7 also measures 126°.
Angles 4 and 6 are alternate interior angles, which means they are congruent. Thus, 7x = angle 4 = angle 6.
Angles 5 and 3 are alternate interior angles, which means they are congruent. Thus,
4x + 4 = angle 5 = angle 3.
Since angles 3, 4, 6, and 8 form a straight line,
angle 3 + angle 4 + angle 6 + angle 8 = 360°.
Substituting the given values, we get:
126° + (7x)° + (7x)° + angle 8 = 360°
Simplifying the equation, we get:
14x + angle 8 = 234°
Now substituting 4x+4 for angle 5,
126° + (7x)° + (7x)° + 4x+4 + angle 8 = 360°
Simplifying we get:
18x + angle 8 = 230°
Solving for angle 8, we get:
angle 8 = 230° - 18x
Substituting this value into the previous equation, we get:
14x + (230° - 18x) = 234°
Simplifying this equation we get:
-4x = 4°
x = -1°.
Although x is negative, the absolute value of x will be positive.
Substituting x = 1° into the expression for angle 7, we get:
angle 7 = 126° (same as angle 2).
Therefore, the measure of angle 7 is approximately 126°.
Angles 4 and 6 are alternate interior angles, which means they are congruent. Thus, 7x = angle 4 = angle 6.
Angles 5 and 3 are alternate interior angles, which means they are congruent. Thus,
4x + 4 = angle 5 = angle 3.
Since angles 3, 4, 6, and 8 form a straight line,
angle 3 + angle 4 + angle 6 + angle 8 = 360°.
Substituting the given values, we get:
126° + (7x)° + (7x)° + angle 8 = 360°
Simplifying the equation, we get:
14x + angle 8 = 234°
Now substituting 4x+4 for angle 5,
126° + (7x)° + (7x)° + 4x+4 + angle 8 = 360°
Simplifying we get:
18x + angle 8 = 230°
Solving for angle 8, we get:
angle 8 = 230° - 18x
Substituting this value into the previous equation, we get:
14x + (230° - 18x) = 234°
Simplifying this equation we get:
-4x = 4°
x = -1°.
Although x is negative, the absolute value of x will be positive.
Substituting x = 1° into the expression for angle 7, we get:
angle 7 = 126° (same as angle 2).
Therefore, the measure of angle 7 is approximately 126°.
Which angles are pairs of alternate exterior angles? Check all that apply.
4 lines intersect to form 16 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 9; 9, 10, 11, 12; 13, 14, 15, 16.
4 lines intersect to form 16 angles. Clockwise from top left, the angles are 1, 2, 3, 4; 5, 6, 7, 9; 9, 10, 11, 12; 13, 14, 15, 16.
Angles 3 and 13 are pairs of alternate exterior angles.
15 answers