In a geographic, ANB are complementary angles, and they form a straight line with a C is a equals X and a B equals 2X
NC equals 90° what is the measure of b
If ANB are complementary angles, it means that the sum of their measures is 90°.
Given that angle NC equals 90° and angle ANB forms a straight line, we can conclude that angle ANB is a right angle (90°).
Since the angles of a triangle add up to 180°, and angle ANB is a right angle, the angles A and B in triangle ANB must add up to 90°.
We are given that angle A equals X and angle B equals 2X.
Now we can set up an equation:
X + 2X = 90°
Combining like terms:
3X = 90°
Dividing both sides by 3:
X = 30°
Therefore, angle B equals 2X, which is 2 times 30°:
B = 2(30°) = 60°
The measure of angle B is 60°.