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Lines R and S are parallel. Find the value of x, then find the measure of 21 and 22.

m21=(74 - x)º
m22 =(85 – 2x)

User Chef Pharaoh
by
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1 Answer

3 votes
3 votes

Answer:

a) The value of x = 11°

b) m21 = 63°

m22= 63°

Explanation:

Step(i):-

Given that the lines R and S are parallel

Given that M21 = (74-x)°

M22 = (85-2x)°

Equating angles

(74-x)° = (85-2x)°

74 - 85 = x -2x

-11 = -x

x = 11°

Step(ii):-

Put x = 11°

⇒ m21 = ( 74 -11) ° = 63°

⇒ m22 = (85-2(11))° = (85-22)° = 63°

Final answer:-

a) The value of x = 11°

b) m21 = 63°

m22= 63°

User ManfredP
by
3.3k points