The measure of the angle ADB is 65 degrees
How to find the measure of the angle ADB?
The angles are given as
Angle ADB = (7x + 2) degrees
Angle CDB = (3x - 2) degrees
The angles are complementary angles
This means that they add up to 90 degrees
So, we have:
ADB + CDB = 90
This gives
7x + 2 + 3x - 2 = 90
Evaluate
10x = 90
Divide by 10
x = 9
Substitute x = 9 in Angle ADB = (7x + 2) degrees
Angle ADB = (7 x 9 + 2) degrees
Evaluate
Angle ADB = 65 degrees
Hence, the measure of the angle ADB is 65 degrees
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