By using the diagram and the given angle measure we get that:
if, m∠1 = 143°
then, m∠2 = 37°
m∠3 = 143°
m∠4 = 37°
What is angles?
An angle is formed when two straight lines or rays meet at a common endpoint.
What is Properties of Congruence?
For all angles A ,
∠A≅∠A .
An angle is congruent to itself.
For any angles A and B ,
if ∠A≅∠B , then ∠B≅∠A .
Order of congruence does not matter.
For any angles A,B, and C ,
if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C .
If two angles are both congruent to a third angle, then the first two angles are also congruent.
I assume that, this refers to two intersecting lines which form four angles.
- ∠1 and ∠2 are supplementary angles whose sum is 180°.
∠1 + ∠2 = 180°
143° + ∠2 = 180°
∠2 = 180° - 143°
∠2 = 37°.
- ∠1 and ∠3 are vertical angles so do with ∠2 and ∠4.
- Therefore, it is easy to find their measures because vertical angles are congruent in measure.
It means that, ∠1 = ∠3 =143° (properties of congruency)
and ∠2 = ∠4 =37° (properties of congruency).
Find out more about angles and congruent angles:
brainly.com/question/25716982
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