In triangle qrs the measure of angle rsq is 29.1 and the measure of angle qrs is 80 degrees. what is the measure of angle sqr?

Measure of angle m∠SQR = 70.9°

Given

m∠RSQ = 29.1°

m∠QRS = 80°

To find: m∠SQR = ?

Since, the sum of angles of a triangle is equal to 180°.

For ΔQRS, ................................ (Refer attached figure)

m∠RSQ + m∠QRS + m∠SQR = 180°

m∠SQR = 180 - (m∠RSQ + m∠QRS) = 180 - (80+29.1) = 180 - 109.1 = 70.9°

m∠SQR = 70.9°

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