Find the measure of the unknown angle, Give Step by step explanation
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Find the measure of the unknown angle, Give Step by step explanation
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In Δ ACB :
35 + x + z = 180° { Angles sum property of Δ }
x + z = 180 - 35
x + z = 145 _____(i)
∠DGE = ∠GCF = 95 { Alternate angles }
Now ,
∠GCF + y = 180 { Linear angles }
95 + y = 180
y = 180 - 95
y = 85
Also ,
y + x = 180 { Linear angles }
85 + x = 180
x = 180 - 85
x = 95
Putting value of x in (i) equation :
x + z = 145
95 + z = 145
z = 145 - 95
x = 50