Question

If ABCD (shown below) is a parallelogram, what is the measure of angle ABC?​ ​

Answer 1

B

Explanation:

• From the property of parallelogram the opposite angels are equal so < DAB = < DCB so < DAB will become 16x.

9x + 5 + 16x(<DAB) = 180 ....... because it is straight line.

25x + 5 = 180

25x = 180 - 5

25x = 175

`(25x)/(25) = (175)/(25)`

x = 7

• now let's substitute in the angle < DCB( 16x):-16 × 7= 112
• To get < ABC lets use the property of parallelogram which says tha adjacent angles are supplementary. which means <ABC + <DCB = 180

<ABC + 112 = 180

< ABC = 180 - 112

< ABC = 68

IT WAS SO DIFFICULT TO EXPLAIN WITH PHONE BUT I TRIED MY BEST

hope it helps

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