Question

find angle r pls with a proper explanation
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Answer 1

Step-by-step explanation:

Angle SQP = 130°

Angle SQR = 180°

Angle PQR = 180- 130

Angle PQR = 50°

Angle QPR = 5x - 2°

Angle PRQ = 4x + 15°

Angle PQS = Angle QRP + Angle PRQ

5x-2+4x+15=130

9x+13=130

9x = 130-13

9x = 117

x = 117/9

x = 13

R = 4x + 15

4×13 + 15

52 + 15

67

Answer 2

Angle PQS + Angle PQR = 180° [linear pair of angles]

130 + PQR = 180

Angle PQR = 180 - 130

Angle PQR = 50°

Now,

P + Q + R = 180° [sum of all angle in a triangle)]

5x - 2 + 50 + 4x + 15 = 180°

9x + 63 = 180

9x = 180 - 63

9x = 117

x = 117÷9

x = 13°

Angle R = 4x + 15

= 4 × 13 + 15

= 52 + 15

= 67°

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