Math, asked by akhataransari74892, 11 months ago


In the diagram, SHAPE is a regular pentagon. The sides SH
and PA are produced to meet at T. Find the angles a, b and c.

Answers

Answered by amitnrw
8

Angles are  72° , 72° & 36° SHAPE is a regular pentagon. The sides SH and PA are produced to meet at T.

Step-by-step explanation:

SHAPE is a regular pentagon.

=> Interior angle of Pentagon = (5 - 2) * 180/5  = 108°

The sides SH and PA are produced to meet at T

∠THA = 180° - 108° = 72°

∠TAH = 180°  - 108° = 72°

∠THA + ∠TAH + ∠HTA = 180°

=> 72° +  72° + ∠HTA = 180°

=> ∠HTA = 36°

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