the degree measures of three angles of a triangle are x°,y°,z° . if z°=x°+y°/2 , then find the value of z
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z=60°
Step-by-step explanation:
Given angles of triangle are x, y and z Also z = (x + y)/2 ⇒ x + y = 2z → (1) Recall that the sum of angles in a triangle is 180° Hence x + y + z = 180° ⇒ 2z + z = 180° [From (1)] ⇒ 3z = 180° ∴ z = 60°
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