Q8. Suppose that ∠1 and ∠2 are vertical angles.
Suppose that m∠1=7x−15 and m∠2=2x+55
Find x.
Q9. Suppose that ∠1 and ∠2 are supplementary angles. Suppose that
m∠1 = 10x−74 and m∠2 = −20x+420. Find x.
Q10. Suppose that ∠1 and ∠2 are a linear pair. Suppose that m∠1= 2x−45 and
m∠2= 8x−390. Find x.
Q11. Suppose that ∠5 and ∠3 are vertical angles. Then, m∠5 − m∠3 = __________ .
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8.
∠1 = ∠2 (vertical angles)
----> m∠1 = m∠2
7x-15 = 2x+55
7x-2x = 55+15
5x = 70
x=14.
9.
∠1 and ∠2 are supplementary angles
----> m∠1 + m∠2 = 180°
10x-74-20x+420 =180°
10x = 136
x = 13.6°
10.
∠1 and ∠2 are linear pair
m∠1 + m∠2 = 180 °
2x-45+8x- 390 = 180°
10x = 615
x = 61.5°
11.
∠5 and ∠3 are vertical angles
----> m∠5 = m∠3
m∠5 - m∠3 = 0
hope it helps you....
∠1 = ∠2 (vertical angles)
----> m∠1 = m∠2
7x-15 = 2x+55
7x-2x = 55+15
5x = 70
x=14.
9.
∠1 and ∠2 are supplementary angles
----> m∠1 + m∠2 = 180°
10x-74-20x+420 =180°
10x = 136
x = 13.6°
10.
∠1 and ∠2 are linear pair
m∠1 + m∠2 = 180 °
2x-45+8x- 390 = 180°
10x = 615
x = 61.5°
11.
∠5 and ∠3 are vertical angles
----> m∠5 = m∠3
m∠5 - m∠3 = 0
hope it helps you....
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