The value of m ∠ RPS is 64. 7°
<h3>What are collinear angles?</h3>
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:
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Answer:
Her next step would be to add 12 to both sides of the equation
Step-by-step explanation:
Which would make the equation 4x=28
Then you divide both sides by 4 giving you x=7
Answer:
35%
60%
Step-by-step explanation:
7/20= 35% . 7 divided by 20 equals .35
3/5=60% 3 divided by 5 equals .6
Answer:
9x+6
Step-by-step explanation:
2(x-4)= 2x-8
7(x+2)= 7x+14
2x-8+7x+14
clt
9x6
