Question

Find the measure of each angle of a quadrilateral PQRS.​

Answer 1

Given quadrilateral PQRS

now ATQ: x+x+30=180° (adjacent angles are supplementary)

2x=150, x= 75°

angle P =75° and angle S= x+30=75+30=105°

angle Q=75° angle R=x-30=75-30=45°

so measure of each angle is 75°,75°,105° and 45°

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Answer 2

x+30+90__180

x+120__180

x__180-120

x__60

p__60

x-30+90__180

60__180

180-60

120