find the x,y,and z from the following figure.
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Answer:
x= 23.34°
y= 40°
z= 116.7°
Step-by-step explanation:
y + x = x + 40 ( Vertically opposite angles are equal to each other)
∴ y = 40°
z = 5x ( Vertically opposite angles are equal to each other)
z + 5x + ( y + x ) + ( x+ 40 ) = 360° ( Sum of all angles = 360° )
→ 5x + 5x + 40 + x + x + 40 = 360°
→ 12x = 360 - 80
→ 12x = 280
→ x = 280 ÷ 12
→ x = 23 4/12 = 23.34
z= 5x = 5(23.34) = 116.7°
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