Each face of a pyramid is an isosceles triangle with a 72 degree vertex angle. What are the measures of the base angles?

52° and 52°

Step-by-step explanation:

An isosceles triangle has two base angles that are congruent. So let x be the measure of the base angle so that by Triangle Angle-Sum Theorem, we can write: X+X+76=180 and next would be 2X+76=180 and then it would be 2X=104 and finally it would be X=52. So there for the measures of the base angles are 52° and 52°. There hoped it helped

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