Question

In the traingle XYZ ,X+Y =115 and Y+Z=100. find the magnitude of X,Y, and Z
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Answer 1

Y = 35

X = 80

Z = 65

Explanation:

X + Y = 115 => X = 115 - Y

Y + Z = 100 => Z = 100 - Y

since sum of inner angles = 180°

X + Y + Z = 180

Substitute

(115 - Y) + Y + (100 - Y) = 180

215 - Y = 180

Y = 35

X = 115 - 35 = 80

Z = 100 - 35 = 65