Question

Here are two intersecting lines. Angle a and angle b are supplementary angles.
What’s the measure of angle b?
dºcºbºa = 45º
Angle b is
degrees.

Answer 1

If angles \( a \) and \( b \) are supplementary angles, that means they add up to \( 180^\circ \).

You mentioned that angle \( a = 45^\circ \).

To find the measure of angle \( b \), you can use the following equation:

\[
b + a = 180^\circ
\]

Substituting \( a = 45^\circ \):

\[
b + 45^\circ = 180^\circ
\]

Now, subtract \( 45^\circ \) from both sides:

\[
b = 180^\circ - 45^\circ
\]
\[
b = 135^\circ
\]

Therefore, the measure of angle \( b \) is \( 135^\circ \).