If m∠2 = 42 and m∠6 = 126, what is m∠4? A. 12 B. 54 C. 96 D. 138

Question

Answer 1

m∠6 = m∠2 + m∠1 measure of exterior angle equals sum of measures of two remote angles

m∠1 + m∠4 = 180°

Answer 2

from the diagram 4 > 90. It's an obtuse angle greater than 90 degrees. Only possible answers are C or D.

It looks more than slightly more than 90, so go with D, 138 degrees.

138 is 90 + 48. 48 is slightly more than 45, which is half of 90. 4 looks about 90 plus half of 90.