Question

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Find the values of x y and z

A. x = 80°; y = 140°; z = 20°
B. x = 70°; y = 130°; z= 30°
C. x = 80°; y = 50°; z = 110°
D. x = 100°; y= 140°; z = 40°​

Answer 1

∠x = 80°

∠y = 140°

∠z = 20°

Explanation:

• the sum of the interior angles of a triangle is 180°

• the measure of third angle = the sum of the interior angles - the sum of two angles

x = 180 - (60 + 40) = 80

∠x = 80°

• the measure of 40 and ∠y are on the straight line and they are both equal 180°

then to find the value of y = 180 - 40

y = 180 - 40 = 140

∠y = 140°

z = 180 - (140 + 20) = 20

∠z = 20°