Question

Find the value of m in the following figure. Note: The figure is not drawn to scale.

mº

mº=_____
ANSWER ASAP!! THE TEST IS TIMED!!

Answer 1

m = 115°

Explanation:

From the picture attached,

By applying triangle sum theorem in ΔABC,

m∠CAB + m∠ABC + m∠BCA = 180°

30° + 35° + m∠BCA = 180°

m∠BCA = 180° - 65°

= 115°

Since, m∠BCA = ∠DCE

m∠BCA = m°

Therefore, m = 115° will be the answer.