Answer:
x = 5
Explanation:
Given:
- The sum of the measures of angle A and angle B is 90°
- The measure of angle A is (4x + 30)
- The measure of angle B is (40)
To Find:
What is the value of x?
Note:
Two angles that add up to give you 90° is a complementary angle.
Thus, Since angle A and angle B sum up to give 90°, they are complementary angles.
Solve:
The following equation can be created to solve for the value of x:
m ∠A + m∠ B
Substitute
40 + 4x + 30 = 90
Add like terms
4x +70 = 90
Subtract 70 from both sides
4x = 90-70
4x = 20
Divide both sides by 4
x = 5
Therefore, the value of x is 5
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