Based on the triangle sum theorem, the measure of angle 1 include;
m∠1 = 119°.
In Mathematics and Geometry, a supplementary angle refers to two angles or arc whose sum is equal to 180 degrees.
According to the triangle sum theorem, the sum of the angles in a triangle is equal to 180°. Therefore, we have these supplementary angles:
m∠A + m∠B + m∠C = 180°
By using the substitution property, we have the following;
24° + 37° + m∠1 = 180°
m∠1 = 180° - (24 + 37)°
m∠1 = 180° - 61
m∠1 = 119°