The equation that will solve for x can be formed using the fact that the sum of the measures of the angles of a straight line is 180°.
Since angles 1 and 4 are on a straight line, we have:
m<1 + m<4 = 180°
Plugging in the given values, we get:
125° + (x + 35)° = 180°
This can be simplified to:
x + 160° = 180°
Then, we can solve for x:
x = 180° - 160°
x = 20°
m<1= 125° and m<4= (x+ 35)°
what equation will solve for X
5 answers
Two angles in a vertical pair have measures that add up to 70° what is the measure of each angle
If two angles are in a vertical pair, it means they are opposite each other when two lines intersect. According to the given information, the measures of these two angles add up to 70°.
Let's call one of the angles x. The other angle, which is opposite to x, will also have a measure of x because vertical angles are congruent.
So, we have:
x + x = 70°
Simplifying the equation, we get:
2x = 70°
Dividing both sides of the equation by 2, we have:
x = 70°/2
x = 35°
Therefore, each angle in the vertical pair has a measure of 35°.
Let's call one of the angles x. The other angle, which is opposite to x, will also have a measure of x because vertical angles are congruent.
So, we have:
x + x = 70°
Simplifying the equation, we get:
2x = 70°
Dividing both sides of the equation by 2, we have:
x = 70°/2
x = 35°
Therefore, each angle in the vertical pair has a measure of 35°.
A geometric figure two intersecting lines or angle<1 and<3 are a vertical pair. If m<1=(3x- 25)° and m< 3 = 104° what is the value of X
Since angles 1 and 3 are a vertical pair, they have equal measures. We are given that m<3 = 104°, so we can set the measure of angle 1 equal to 104°:
m<1 = 104°
We can also express m<1 in terms of x, using the given expression:
m<1 = (3x - 25)°
Setting these two expressions equal to each other, we can solve for x:
(3x - 25)° = 104°
Adding 25 to both sides of the equation, we get:
3x = 104° + 25°
Simplifying, we have:
3x = 129°
To solve for x, we divide both sides of the equation by 3:
x = 129°/3
x = 43°
Therefore, the value of x is 43°.
m<1 = 104°
We can also express m<1 in terms of x, using the given expression:
m<1 = (3x - 25)°
Setting these two expressions equal to each other, we can solve for x:
(3x - 25)° = 104°
Adding 25 to both sides of the equation, we get:
3x = 104° + 25°
Simplifying, we have:
3x = 129°
To solve for x, we divide both sides of the equation by 3:
x = 129°/3
x = 43°
Therefore, the value of x is 43°.