Question

Triangle XYZ is a right triangle. Angle Z is a right angle and m∠X = 68°. What is m∠Y?

Answer 1

interior angles of a triangle add up to 180

< X + < Y + < Z = 180
68 + Y + 90 = 180
158 + Y = 180
Y = 180 - 158
Y = 22 <==

Answer 2

m∠Y is 22°

What is right triangle?

Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

Given,

ΔXYZ is a right triangle

m ∠Z = 90°

m∠X = 68°

Let  m∠Y = x,

∵ Addition of interior angles of a triangle is 180°

So, m∠X + m∠Y +m ∠Z = 180°

Subsitute the values,

68° + x + 90° = 180°

x = 180 - 158

x = 22

Hence, m∠Y = 22°

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