Question

the degree measure of the 3 angles of a triangle are x°,y°,z°if z°=x°+y°÷2,then find the value of z°

Answer 1

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Question :- The degree measure of the 3 angles of a triangle are x°,y°,z°if z°=x°+y°÷2,then find the value of z°

Answer :- 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°