Answer:
- x = 4; m(∠EFH) = 21°, m(∠EFG) = 83°
- x = 7, m(∠WXZ) = 38°, m(∠ZXY) = 52°
Explanation:
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m(∠EFH) + m(∠HFG) = m(∠EFG)
(5x + 1) + 62 = (18x + 11)
5x + 1 + 62 = 18x + 11
5x + 63 = 18x + 11
5x - 18x = 11 - 63
-13x = 11 - 63
-13x = -52
x = -52 ÷ (-13)
x = 4
m(∠EFH) = 5x + 1 => m(∠EFH) = 5 × 4 + 1 => m(∠EFH) = 20 + 1 => m(∠EFH) = 21°
m(∠EFG) = 18x + 11 => m(∠EFG) = 18 × 4 + 11 => m(∠EFG) = 72 + 11 => m(∠EFG) = 83°
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A right angle is 90°.
m(∠WXZ) + m(∠ZXY) = m(∠WXY)
(5x + 3) + (8x - 4) = 90
5x + 3 + 8x - 4 = 90
13x + 3 - 4 = 90
13x - 1 = 90
13x = 90 + 1
13x = 91
x = 91 ÷ 13
x = 7
m(∠WXZ) = 5x + 3 => m(∠WXZ) = 5 × 7 + 3 => m(∠WXZ) = 35 + 3 => m(∠WXZ) = 38°
m(∠ZXY) = 8x - 4 => m(∠ZXY) = 8 × 7 - 4 => m(∠ZXY) = 56 - 4 => m(∠ZXY) = 52°
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Success! ☺️