Angles A and C are complementary, and angles C and B are supplementary. If Angle A = 45 degrees, what is the measure of angle B?
Tell me please
180-45
If:Asupplementry B,A supplementary C,thenB andC are
Angles a snd c are
To find the measure of angle B, we first need to understand the relationships between the angles.
1. Angles A and C are complementary, which means they add up to 90 degrees.
- So, angle C = 90 - angle A
2. Angles C and B are supplementary, which means they add up to 180 degrees.
- So, angle B + angle C = 180
Now, let's substitute the given values into these equations:
Given: Angle A = 45 degrees
From the first relationship:
angle C = 90 - angle A
angle C = 90 - 45
angle C = 45 degrees
Now, let's substitute the value of angle C into the second relationship:
angle B + angle C = 180
angle B + 45 = 180
Next, isolate angle B by subtracting 45 from both sides:
angle B = 180 - 45
angle B = 135 degrees
Therefore, the measure of angle B is 135 degrees.