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 sq

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2 years ago

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1 answer:

Katen [24] · Answer 1 · 2022-09-28T22:01:03+03:00

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°