You provided the measure for angle C as
To find angle b, we can use the fact that the sum of angles in a straight line is
. Since angle C is part of this straight line, we can calculate b as follows:
![\[ b = 180^\circ - C \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/2ky7d9mn9xtcm6lpkwwdps747s3y1bjeoy.png)
![\[ b = 180^\circ - 118^\circ \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/1tcfivcgz3j08npj5lbmws5czjfv0j2ddm.png)
![\[ b = 62^\circ \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/7gpo0jhybtgppiheu3edh42hu2t74ot1w3.png)
Therefore, the measure of angle
is
.
To summarize:
![\[ b = 62^\circ \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/7gpo0jhybtgppiheu3edh42hu2t74ot1w3.png)
![\[ C = 118^\circ \]](https://img.qammunity.org/2024/formulas/mathematics/high-school/imxutug7694m3vumpa1fo80mkvo938fe6i.png)
These values satisfy the condition that the sum of angles in a straight line is
