Answer:
Therefore m∠ C is 73°.
Step-by-step explanation:
Given:
∠ C and ∠ D are Vertical angles
m∠ C = 5x - 7
m∠ D = 8x - 55
To Find:
m∠ C = ?
Solution:
Vertical angles:
The angles opposite each other when two lines cross. They are always equal.
∠ C and ∠ D are Vertical angles ...........Given
∴ ∠ C = ∠ D
Substituting we get
[tex]5x-7=8x-55\\\\8x-5x=55-7\\\\3x=48\\\\\therefore x=\frac{48}{3} \\\\\therefore x=16[/tex]
m∠ C will be
[tex]m\angle C=5\times16 -7\\\\m\angle C=73\°[/tex]
Therefore m∠ C is 73°.
