Question

Here are two intersecting lines.
What is the measure of angle b?
a = 34ºbºcº


Angle b is
degrees.

Answer 1

To find the measure of angle \( b \) given that angle \( a = 34^\circ \), we can use the property of intersecting lines where opposite angles are equal and adjacent angles are supplementary (add up to 180°).

Given:

- \( a + b = 180^\circ \)

We can substitute \( a \) into the equation:

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

Now, we isolate \( b \):

\[
b = 180^\circ - 34^\circ
\]
\[
b = 146^\circ
\]

Therefore, the measure of angle \( b \) is \( 146^\circ \).