An angle is 45° less than two times

1.	An angle is 45° less than two times
Answer» Question: An angle is 45° less than two TIMES of its supplement, then the greater angle is ___________. SOLUTION: Let X and Y be two SUPPLEMENTARY angles. We know X+Y=180° ............(1) Let Y be greater angle. Y=2X−45 as PER the question ........(2) From (1) and (2), we have X+2X−45=180 ⇒3X=225 ⇒X=75 Thus Y=180−75=105 ....It is the largest angle. The Required Angles Are 105° and 75° hope it helps ☺️ $\text{[math]}$

Answer»

Question:

An angle is 45° less than two TIMES of its supplement, then the greater angle is ___________.

Let X and Y be two SUPPLEMENTARY angles.

Let Y be greater angle.

Thus Y=180−75=105 ....It is the largest angle.

The Required Angles Are 105° and 75°

hope it helps ☺️

$\text{[math]}$