Question

In a quadrilateral ABCD,angleA,angleB,angleC and angleD are respectively in arithmetic progression and angleC equal to 100 degree.Find the remaining 3 angles of quadrilateral​

Answer 1

Step-by-step explanation:

Since the sum of all angles of a quadrilateral is 360, lets consider that d is x.

Then:

Let angle A be equal to 100-2x.

Let angle B be equal to 100-x.

Let angle C be equal to 100 which is already given.

Let angle D be equal to 100+x.

Thus, we just need to compute the following equation:

(100 - 2x) + (100 - x) + (100) + (100 + x) = 360

⇔ 400-2x=360

⇔ 2x=400-360

⇔ 2x = 40

⇔ x = 20.

Then, we can conclude that our angles are:

A = 100 - 2 * 20 = 100 - 40 = 60

B = 100 - 20 = 80

D = 100 + 20 = 120

Just as a way of verification:

A+B+C+D = 360

60+80+100+120= 360

360= 360

PLEASE MARL AS BRAINLIEST

Answer 2

hey mate ‼️‼️‼️

ur solution is in the attachment⤴️⤴️

✌✌ hope it's help you ✌✌

#follow me

n happy holiii❤❤