The proof is that m∠2 + m∠3 = 180 and value of m∠3 is 126⁰.
How to proof theorem of angles.
Complementary angles add up to 90 degrees. When combined, they form a right angle, making them mutually supplementary.
Given
m∠2 = 36⁰
∠1 and ∠2 are complementary
m∠1 + m∠2 = 90(definition of complementary angles)
m∠1 + 36 = 90
m∠1 = 90 - 36(subtractive property of equality)
= 54⁰
If ∠2 and ∠3 are linear pair, then ∠2 and ∠3 are supplementary.
m∠2 + m∠3 = 180(linear pair theorem)
54 + m∠3 = 180
m∠3 = 180 - 54 (subtractive property of equality)
= 126⁰
Therefore, the proof is that
m∠2 + m∠3 = 180 and value of m∠3 is 126⁰
Complete question
Select the correct answer. a diagram of angles 1, 2, and 3 is shown. given: angles 1 and 2 are complementary a linear graph of the x-axis and y-axis has a diagonal line that spans from tent (2, 4) to kayak rental (minus 1, minus 3). the line intercepts the x-axis at (0.2, 0) and the y-axis at (0, minus 1) with each unit of 200m given angles 1 and 2 are complementary, m angle 1 equals 36 degrees both are pointing towards 36 degrees plus m angle 2 equals 90 degrees pointing m angle 2 equals 54 degrees pointing 54 degrees plus m angle 3 equals 180 degrees pointing what is most likely being shown by the proof?