Question

3 2 Н 5 7 6 3 к 4 Quadrilateral GHJK is a rectangle. Find the measure of angle 2, given that the measure of angle 4 is 54°. * (1 Point) 54° 36° 126 134°

Answer 1

angle 2 = 36° (option B)

Step-by-step explanation:

The angles in each of the edges is equal to 90 degrees

Angle 4 = 54 degrees

Angle 1 and angle 4 are alternate angles

Alternate angles are equal.

Angle 1 = Angle 4

Angle 1 = 54 degrees

Since the angle at the edge = 90 degrees:

Angle 1 + angle 2 = 90 degrees

54 + angle 2 = 90 degrees

subtract 54 from both sides:

54 - 54 + angle 2 = 90 - 54

0 + angle 2 = 36°

angle 2 = 36° (option B)