The sum of two complimentary angles is 90. . For one pair of complimentary angles, the measure of the first angle is 15 less than twice the measure of the second angle.

Question

asked Jun 27, 2022 229k views

1 Answer

Charles Ferentchak · Answer 1 · 2022-07-02T02:02:37+0000

Answer:

$x=55 \textdegree$

$y=35 \textdegree$

Explanation:

From the question we are told that

Sum of two angle =90

First angle is 15 less than twice the measure of the second angle.

Generally interpreting mathematically we have

Let x be the first angle and second angle y

x=2y-15

Therefore

2y-15 +y=90

3y=105

y=(105)/(3)

$y=35 \textdegree$

Therefore

x+35=90

x=90-35

$x=55\textdegree$