To find the value of x and the two angle measures, we can set up an equation based on the definition of complementary angles, which states that the sum of the angle measures is 90 degrees.
Let (2×)° represent the measure of one angle and (3×)° represent the measure of the other angle.
According to the definition of complementary angles:
(2×)° + (3×)° = 90°
Combine like terms:
5×° = 90°
Divide both sides of the equation by 5:
x = 90° ÷ 5 = 18°
Thus, x = 18°.
Substitute this value of x back into the original expressions to find the measures of the two angles:
First angle: (2×)° = 2(18°) = 36°
Second angle: (3×)° = 3(18°) = 54°
Therefore, the value of x is 18°, and the two angle measures are 36° and 54°.
Two complementary angles have measures (2×)° and (3×)°. What is the value of x and the two angle measures?
1 answer
1 answer