Answer:
sorry for the late answer
m ∠b = 133°, m ∠c = 47°, and m ∠d = 133°.
<h3>
Further explanation</h3>
Follow the attached picture. I sincerely hope that's precisely a correct illustration.
We will use a graph of two intersecting straight lines.
Note that m ∠a and m ∠c are vertical angles. Since vertical angles share the same measures, in other words always congruent, we see 
We continue to determine m ∠b and m ∠d.
Note that m ∠b and m ∠d represent supplementary angles. Recall that supplementary angles add up to 180°.
Let us see the following steps.


Both sides subtracted by 47°.

Thus 
Finally, note that m ∠b and m ∠d are vertical angles. Accordingly, 
<u>Conclusion:</u>
- m ∠a = 47°
- m ∠b = 133°
- m ∠c = 47°
- m ∠d = 133°
<u>Notes:</u>
- Supplementary angles are two angles when they add up to 180°.

- Vertical angles are the angles opposite each other when two lines cross. Note that vertical angles are always congruent, or of equal measure.

<h3>Learn more</h3>
- About the measure of the central angle brainly.com/question/2115496
- Undefined terms needed to define angles brainly.com/question/3717797
- Find out the measures of the two angles in a right triangle brainly.com/question/4302397
Keywords: m∠a = 47°, m∠b, m∠c, and m∠d, 133°, vertical angles, supplementary, 180°, congruent
To solve a proof, you need to distinguish which is the hypothesis and which is the conclusion. The hypothesis is the starting point and the conclusion is the ending point. We go from hypothesis to conclusion. A conditional statement can be written as If A, then B. Where A is the hypothesis and B is the conclusion.
For example, take this theorem.
If two sides of a triangle<span> are congruent, then the angles opposite those sides are congruent.
</span>
We go from Two sides of a triangle are congruent to the angles opposite those sides are congruent.
The first statement's reason is pretty much always Given.
Statement | Reason
1. Two sides of a triangle are congruent 1. Given
.... After a bunch of steps
3. the angles opposite those sides are congruent. 3. Your postulate of definition of what reason you need to complete the last step.
Sorry if this is a little confusing.