Question

List the sides in order from shortest to longest in ∆PQR, with the measure of angle P=45, the measure of angle Q=10x+30, and the measure of angle R=5x

Answer 1

Step-by-step explanation:

in ∆PQR

angle P=45

angle Q=10x+30

angle

sum property of triangle

P +Q+R = 180

45+10x+30+5x=180

15x +75= 180

15x = 180-75

15x = 105

x = 105/15

x = 7°

P = 45°

Q=10x+30

= 10×7+30

= 70+30

Q = 100°

R=5x

= 5×7

= 35

smallest angle is R

so, its opposite side PQ is shortest side

largest angle is 100

so opposite largest side is PR