Question

In triangle QRS the measurement of an angle RSQ is 29.1 and the measure of angle QRS is 70 degrees what is the measurement of sqr

Answer 1

Answer: The measure of ∠SQR= 80.9°

Step-by-step explanation:

Given: In triangle QRS,

∠ RSQ = 29.1° and ∠QRS=70°

To find: ∠SQR

Angles sum property of triangle = Sum of all the angles in a triangle is 180°.

For Δ QRS,

∠SQR + ∠ RSQ +∠QRS = 180°

⇒ ∠SQR + 29.1° + 70° = 180°

⇒ ∠SQR + 99.1° = 180°

⇒ ∠SQR= 180°-99.1

⇒ ∠SQR= 80.9°

Hence, the measure of ∠SQR= 80.9°