Question

Active using properties and definitions of quadrilaterals. Quadrilateral ABCD is shown. Angle A is 128 degrees, angle B is 126 degrees, and angle C is 54 degrees. What is the measure of angle D?

a) 52o
b) 54o
c) 57o
d) 126o

Answer 1

The measure of angle D in quadrilateral ABCD is 52 degrees, found by subtracting the sum of the given angles from 360 degrees.

Step-by-step explanation:

The question is asking to find the measure of angle D in quadrilateral ABCD given that angle A is 128 degrees, angle B is 126 degrees, and angle C is 54 degrees. To find the measure of angle D, we need to use the property that the sum of the angles in any quadrilateral is 360 degrees. So, we can calculate angle D by subtracting the sum of angles A, B, and C from 360 degrees:

Angle D = 360 degrees - (Angle A + Angle B + Angle C)

Angle D = 360 degrees - (128 degrees + 126 degrees + 54 degrees)

Angle D = 360 degrees - 308 degrees

Angle D = 52 degrees

Therefore, the measure of angle D is 52 degrees, which corresponds to option (a).