Answer:
2× +46 + 3×-6 =90
sx+40=90
5X=90-40
x=50/5
X=10
frist angle= 2×10+46= 66
secnd angle= 90- 66 = 2 4
The measure of larger angle is 66
we have given that two complementary angles expression
[tex]A=(2x+46) and\\ B= (3x-6)[/tex]
When two angle are complementary ?
Two angles are called complementary when their measures add to 90 degrees.
That is suppose A and B are complimentary then
A+B=90
Therefore we have given expression of complementary angle is
[tex](2x+46) + (3x-6)=90\\\\5x+40=90\\\\5x=90-40\\\\5x=50\\\\x=\frac{50}{10}\\\\x=10[/tex]
Therefore
angle A,
[tex]A=2(10)+46\\\\A=20+46\\\\\\A=66[/tex]
and angle B is,
[tex]B=3(10)-6\\B=30-6\\B=24[/tex]
Therefore we get the measure of larger angle is 66
To learn more about the complementary angle visit:
https://brainly.com/question/16281260
