Question

quadetrial PQRS angels are in the ratio 2:3:7:8 find all the angles​

Answer 1

Answer:

THE GIVEN QUADRILATERAL IS PQRS

Step-by-step explanation:

FIRST WE WILL FIND THE SUM OF RATIOS

THAT IS 2+3+7+8= 20

SUM OF ALL ANGLES IS 360

SO 1 ST ANGLE IS 2/20 *360 = 36°

2 ND ANGLE IS 3/20 *360 = 54°

3 RD ANGLE IS 7/20* 360 = 126°

4 TH ANGLE IS 8/ 20 * 360 = 144°

HOPE IT HELPS PLEASE MARK IT BRAINLIEST

Answer 2

Given

⇒Ratio of Angle in Quadrilateral 2:3:7:8

Now let

⇒∠A = 2x°

⇒∠B = 3x°

⇒∠C = 7x°

⇒∠D = 8x°

We Know that sum of all interior angel of  Quadrilateral is 360°

⇒∠A+ ∠B+ ∠C +∠D = 360°

⇒2x + 3x + 7x + 8x = 360°

⇒20x = 360°

⇒x = 360°/20

⇒x = 18°

We get

⇒∠A = 2 × 18° = 36°

⇒∠B = 3 × 18° = 54°

⇒∠C = 7 × 18° = 126°

⇒∠D = 8 × 18° = 144°

Now Check our answer

⇒∠A+ ∠B+ ∠C +∠D = 360°

⇒36° + 54° + 126° + 144° = 360°

⇒90° + 270° = 360°

⇒360° = 360°