Question

Two angles of a pentagon are 150 and 120°. Find the other three angles if they are equal in measurement,​

Answer 1

Answer:

▪︎we know that sum total of all angles of pentagon is 540°.

☆Solution:

$\implies{\sf{\angle{A}+\angle{B}+\angle{C}+\angle{D}+\angle{E} = 540°}}$

•since three angles are equal let call them x.

$\implies{\sf{x+x+x+150°+120°=540°}}$

$\implies{\sf{3x+270°=540°}}$

$\implies{\sf{3x=270°}}$

$\implies{\bf{x=90°}}$

so the angle A=B=C=90°

♧hope it helps!♧

Answer 2

the answer is 90°

Step-by-step explanation:

let the angle be x

150+120+x+x+x=540°

270°+3x= 540°

3x=540°-270°

3x= 270°

x= 270°÷3

x=90°

Hope it was helpful