Ifangle1∠ 1 and angle2∠ 2 are complementary, find the measure of x and the measures of the angles when LaTeX: m\angle1=\left(6x+ 5\right)^\circm ∠ 1 = ( 6 x + 5 ) ∘ and LaTeX: m\angle2=\left(8x+15\right)^\circm ∠ 2 = ( 8 x + 15 ) ∘ ?
1 answer:
Answer:
<h3>x = 5</h3>
Step-by-step explanation:
The sum of two complementary angle is 90 degrees. Given the following complementary angles;
<1 = 6x + 5
<2 = 8x + 15
<1 + <2 = 90 (complementary angles)
6x + 5 + 8x + 15 = 90
14x + 20 = 90
14x = 90-20
14x = 70
x = 70/14
x = 5
Hence the measure of x is 5
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