Consider angles A and B where A is the complement of B, and A is also 30° larger than B.
Set up the two conditions: A + B = 90 and A = B + 30.
Find the measure of angle A (in degrees).

Question

Consider angles A and B where A is the complement of B, and A is also 30° larger than B. Set up the two conditions: A + B = 90 and A = B + 30. Find the measure of angle A (in degrees).

Accepted Answer

60. From A = B + 30 and A + B = 90: (B + 30) + B = 90, so 2B = 60, B = 30, and A = 60°.

Consider angles A and B where A is the complement of B, and A is also 30° larger than B.
Set up the two conditions: A + B = 90 and A = B + 30.
Find the measure of angle A (in degrees).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Geometrical Terms and Definitions practice

Consider angles A and B where A is the complement of B, and A is also 30° larger than B.Set up the two conditions: A + B = 90 and A = B + 30.Find the measure of angle A (in degrees).

Step-by-Step Solution

Master this chapter in 30 minutes a day.

More Class 9 Geometrical Terms and Definitions practice

Consider angles A and B where A is the complement of B, and A is also 30° larger than B.
Set up the two conditions: A + B = 90 and A = B + 30.
Find the measure of angle A (in degrees).