Question

in triangle pqR the measure of angle P is 30 degrees greater than the measure of angle q and angle R is a right angle find the measure of all triangles​

Answer 1

Step-by-step explanation:

angle R = right angle = 90°

angle P = 30° greater than angle Q

therefore let angle Q be x°

the angle P = x° + 30°

now the sum of all angles of a triangle is 180°

therefore

angle P + angle Q + angle R = 180°

( x + 30°) +. x° + 90°. = 180°

x + 30. +. x. = 180-90

2x + 30°. = 90°

2x. = 90-30

2x = 60

x. =60/2

x. =. 30°

therefore

angle P = 30 + 30° = 60°

angle Q =. 30°

angle R =. 90°