Question

37. In a parallelogram ABCD, ZA= (2x +34) and ZB = (3x - 54). Find the measurement of ZD. A. 120° B. 114° C. 66° D. 40°​

Answer 1

Answer:

Step-by-step explanation:

x=32, b=89 degrees, d=91 degrees

In ∥gm opposite angles are supplementary.

Therefore,

                ∠B+∠D=180  

∘

 

            2x+25+3x−5=180  

∘

 

                    x=  

5

180−20

​

=32

   ∠B=2x+25=(2∗32)+25=89  

∘

 

   ∠D=3x−5=(3∗32)−5=91  

∘

Answer 2

Answer:

C.66

Step-by-step explanation:

A+B= 180° (sum of interior angles)

2x+34+3x-54=180

5x-20=180

x=40

B=D (Corresponding angles)

3×40°-54=B

66°=B=D

D=66°