Answer:
The total of this whole angle, which is represented by ∠ABD, measures 64°.
We are given that apart of this angle, ∠CBD measures 30°, so that'd mean that the other part of this angle, ∠ABC, would measure 34°.
This is because both angles ABC and CBD combined would equal a total of 64°.
So we set up the equation;
30 + x = 64
-30 -30
x = 34°, therefore ∠ABC = 34°.
Answer:
m∠ABC = 34°
Step-by-step explanation:
Given:
m∠ABD = 64°
m∠CBD = 30°
BC is the angle bisector of ∠ABD, which means that an angle is cut in half into two equal pieces. The line divides an angle into two angles.
∠ABC + ∠CBD = ∠ABD
m∠ABC = m∠ABD - m∠CBD
m∠ABC = 64° - 30°
m∠ABC = 34°
hope this helps!! p.s. i really need brainliest :)
