Final answer:
To find the value of x for two complementary angles with measures of m∠1=4x+2 and m∠2=2x+10, an equation is set up and solved, revealing that x = 13.
Step-by-step explanation:
The student is asking about complementary angles. By definition, complementary angles add up to 90 degrees. Given that m∠1 = 4x+2 and m∠2 = 2x+10 are complementary, we can set up an equation to solve for x:
- m∠1 + m∠2 = 90°
- (4x+2) + (2x+10) = 90
- 6x + 12 = 90
- 6x = 78
- x = 13
Therefore, the value of x is 13.