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The base angle of an isosceles triangle measures 54 degrees. What is the measure of its vertex angle? A) 27degrees B) 36 degrees
1 answer:
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Answer:
x = 71
Step-by-step explanation:
Given the triangle in red, we can find the unknown angle since the sum of the angles of a triangle are 180. Call the unknown angle GHI
B+ D+ GHI = 180
31+ 40 + GHI = 180
71 + GHI = 180
GHI = 180 -71
GHI = 109
We know that GHI + x = 180 since it forms a straight line
GHI + x =180
109 + x = 180
x = 180-109
x = 71
<span>Replace the value of "x" in the second equation (II) to find the value of "y", thus:
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The numbers (10,15)