find the measure of an angle which is 40° more than its complement
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Answer:
Add 40 to each side. Divide by 2. One of the angles is 65 degrees, and the other is 40 degrees less, meaning its 25 degrees.
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☆ Question ☆
Find the measure of an angle which is 40° more than its complement.
☆ Solution ☆
To find
- The measure of an angle which is 40° more than its complement .
Step-by-Step-Explaination
Let the angle be x
It's complement = x + 40
As we know that sum of two complementary angles is 90°
According to the question
x + x + 40 = 90
2x + 40 = 90
2x = 90 - 40
2x = 50
x = 25
Hence
The angle = x = 25°
It's complement = x + 40 = 25 + 40 = 65°
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