Question

A base angle of an isosceles triangle is 27° more than its vertical angle .Find all the angles of the
triangle​

Answer 1

Step-by-step explanation:

answer is 76.5

base angle =103.5

equation =x+x+27=180

2x=180-27

2x=153

x=76.5

vertical angle =76.5

base angle =103.5

Answer 2

Answer:

Let the base angles = x

Vertical angle  = x + 27

x + x + x + 27 = 180 (Angle sum property)

3x + 27 = 180 ; 3x = 180 - 27 = 153

3x = 153 ; x = 153 / 3 = 51

Base angles = 51 + 51 = $102^{o}$

Vertical angle = 51 + 27 = $78^{o}$

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