Question

In quadrilateral PQRS if angle P =60⁰ and angle Q :angle R: angle S = 2:3:7then final the measure of angle S​

Answer 1

Step-by-step explanation:

WE KNOW THAT SUM OF ALL ANGLES IN A QUADRILATERAL IS 360°.

LET THE ANGLES BE P=60°,Q=2x,R=3x,S=7x

LET'S TAKE THE SUM

60°+2x+3x+7x=360°

12x=360°-60°

12x=300°

x=300/12

x=25°

NOW WE SHOULD FIND ALL THE ANGLES..

Q=2x

=2×25

=50°

R=3x

=3×25°

=75°

S=7x

=7×25°

=175°

THEREFORE THE MEASURE OF ANGLE S IS 175°

Answer 2

Answer:

∠S = 175°

Step-by-step explanation:

We know that sum of angles of a quadrilateral is 360°

∠P + ∠Q + ∠R + ∠S = 360°

From the given data ∠P = 60°

∠Q , ∠R , ∠S are in the ratio 2 : 3 : 7

Sum of these three angles is 300 [360 - 60]

Let the ratio be 2x : 3x : 7x

2x + 3x + 7x = 300

12x = 300

⇒ x = 25

The angles are 50° , 75° , 175°

∠P = 60°

∠Q = 50°

∠R = 75°

∠S = 175°