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°
