Question

two angles of a quadrilateral measure 70° each . the other two angles are in the ratio 5:6 .find the measure of each of them.

Answer 1

70+70+5x+6x=360
11x=220
x=20

1angle=100
2angle=120

Answer 2

The measure of other two angles are 100° , 120°

Given :

• Two angles of a quadrilateral measure 70° each

• The other two angles are in the ratio 5 : 6

To find :

The measure of other two angles

Solution :

Step 1 of 2 :

Form the equation to find the angles

Here it is given that two angles of a quadrilateral measure 70° each

So two angles are 70° , 70°

The other two angles are in the ratio 5 : 6

Let the other two angles are 5x , 6x

Since sum of angles of a quadrilateral = 360°

By the given condition

70° + 70° + 5x + 6x = 360°

Step 2 of 2 :

Find other two angles

70° + 70° + 5x + 6x = 360°

⇒ 140° + 11x = 360°

⇒ 11x = 360° - 140°

⇒ 11x = 220°

⇒ x = 220°/11

⇒ x = 20°

Hence measure of other two angles are 100° , 120°

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ If ∠A and ∠B are two adjacent angles of a parallelogram. If ∠A = 70°, then ∠B = ?

https://brainly.in/question/18539197

2. The angles of the triangle are 3x–40, x+20 and 2x–10 then the value of x is

(a) 40 (b) 35 (c) 50 (d) 45

https://brainly.in/question/4194032