Question

Please help! Khan question

Answer 1

The value of m ∠ RPS is 64. 7°

What are collinear angles?

Collinear angles are angles formed when three or more points lie on the same straight line.

Note that angles on a straight line sum up to 180 degrees.

From the diagram given, we can see that the angles are collinear angles and thus sum up to 180 degrees;

• m ∠QPS = 88°
• m ∠ RPS = 5x + 34°
• m ∠ QPR = 8x + 15°

m ∠QPS + m ∠ RPS + m ∠ QPR = 180°

88° + 5x + 34° + 8x + 15° = 180

collect like terms

5x + 8x = 180 - 137

Add like terms

13x = 43

Make 'x' the subject of formula

x = 43/ 7

x = 6. 14

m ∠ RPS = 5x + 34 = 5 ( 6. 14) + 34 = 30. 7 + 34 = 64. 7°

Thus, the value of m ∠ RPS is 64. 7°

Learn more about collinear points here:

brainly.com/question/3307641

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