Question

Find the angle measure a in the given figure.​

Answer 1

Step-by-step explanation:

measure is a -- 180°

please give me start

Answer 2

Step-by-step explanation:

In pentagon,

angle VPS=30°

angle VMB=180°-80°=100° (Linear pair)

angle SBM= 180°-60°=120° (Linear Pair)

angle PVM=angle PSB= a.

Sum of all interior angles of pentagon=540°

=>angle VPS+ angle PSB+angle PVM + angle VMB+ angle SBM=540°

=>30°+a+a+100°+120°=540°

=>2a+250°=540°

=>2a=540°-250°=290°

=> a=290°/2

=>a =145°

Therefore, angle PVM, angle PSB are equal to 145°.

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