What is the measure of PSQ in degrees 9 24 45 54

Question

asked Apr 5, 2020 223k views

2 Answers

I A Khan · Answer 1 · 2020-04-11T20:51:45+0000

Answer:

$m\angle PSQ=45^o$

Explanation:

we know that

$m\angle PSR=m\angle PSQ+m\angle QSR$ ---> by addition angle postulate

substitute the given values

99^o=(3x+18)^o+(9x-27)^o

solve for x

99^o=(12x-9)^o

12x=99+9

12x=108

x=9

Find the measure of angle PSQ

$m\angle PSQ=(3x+18)^o$

substitute the value of x

$m\angle PSQ=(3(9)+18)=45^o$