Answer:
The statement which is true about the angles in the figure is;
The measure of Angle 4 is 137 degrees
Step-by-step explanation:
From the question diagram, we have;
The interior angles of the triangle are;
43°, 56°, and ∠1
Therefore, by the angle sum theorem, we have;
∠1 = 180° - 43° - 56° = 81°
∠1 = 81°
The measure of ∠1 is 81°
By the sum of angles on a straight line, we have;
∠1 + ∠2 = 180°
∴ 81° + ∠2 = 180°
∠2 = 180° - 81° = 99°
The measure of ∠2 is 99°
Similarly, for the angles 56° and ∠3 which are on a straight line, we have;
56° + ∠3 = 180°
∠3 = 180° - 56° = 124°
The measure of ∠3 is 124°
For the angles 43° and ∠4 which are on a straight line, we have;
43° + ∠4 = 180°
∠4 = 180° - 43° = 137°
The measure of ∠4 is 137°
Therefore the true statement is the measure of angle 4 is 137 degrees.
