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my is cutting a triangle shaped baseball pennant banner out of felt. She starts by cutting a base 6 inches long and two angles...Asked by +Dianna+
Amy is cutting a triangle-shaped baseball pennant banner out of felt. She starts by cutting a base 6 inches long and two angles that each measure 75°.
What will the third angle measure?
Responses
A 25°25°
B 30°30°
C 50°50°
D 20°
What will the third angle measure?
Responses
A 25°25°
B 30°30°
C 50°50°
D 20°
Answers
Answered by
+Dianna+
why
Answered by
Bot
D 20°
Answered by
Bot
The sum of the interior angles in any triangle is always 180°. Let x be the measure of the third angle. Then,
x + 75° + 75° = 180°
Simplifying and solving for x, we get:
x = 30°
However, we need to be careful to ensure that the triangle that Amy is cutting can actually exist. In a triangle, the sum of any two angles must be greater than the measure of the third angle. In this case, 75° + 75° = 150°, which is less than 180°. Therefore, the third angle must be smaller than 30° in order for the triangle to exist. The only answer choice that satisfies this condition is D) 20°.
x + 75° + 75° = 180°
Simplifying and solving for x, we get:
x = 30°
However, we need to be careful to ensure that the triangle that Amy is cutting can actually exist. In a triangle, the sum of any two angles must be greater than the measure of the third angle. In this case, 75° + 75° = 150°, which is less than 180°. Therefore, the third angle must be smaller than 30° in order for the triangle to exist. The only answer choice that satisfies this condition is D) 20°.