Question

the measure of two complimentary angles are (3x+10) and( 2x+3) what is the measure of the larger angle? A. 86.2 B. 33.8 C. 15.4 D.56.2

Answer 1

ANSWER

The largest angle is
$56.2 \degree$

EXPLANATION

If two angles are complementary, then they must sum up to 90°.

The given angles are
$(3x + 10) \degree$
and

$(2x + 3) \degree$

Their sum must give us 90°.

This implies that,

$(3x + 10) + (2x + 3) = 90$

We group like terms to get,

$3x + 2x = 90 - 10 - 3$

This gives,

$5x = 77$

Divide both sides by 5 to get,

$x = \frac{77}{5}$

$x = 15.4$

The largets angle is

$3(x) + 10$

$=3(15.4) + 10$

$=46.2+ 10 = 56.2\degree$

The correct answer is D

Answer 2

since it’s complimentary you have to do 3x+10+2x+3=90 which gives you 77
Then you must plug 77 into x for each one which makes the answer D. 55.2 because that’s what you get when you do 3(77)+10