Question

Two angles of a quadrilateral are 68 and 76 .if order two angles are in the ratio 5:7 ,find the measure of each of them

Answer 1

Answer:

Step-by-step explanation:

68⁰+76⁰+12X=360⁰

144⁰+12X=360⁰

12X=216⁰

X=216⁰/12

X=18

5X=90

7X=126

Answer 2

Step-by-step explanation:

Given:-

Two angles of the quadrilateral are 68 and 76 and the other two are in the ratio of 5:7 .

To Find:-

The other remaining two angles.

We know That:-

Sum of all the angles of a quadrilateral is 360°.

Solution:-

Let the remaining angles be 5x and 7x.

Let the remaining angles be 5x and 7x.68°+76°+5x+7x=360°

Let the remaining angles be 5x and 7x.68°+76°+5x+7x=360°12x+144°=360°

Let the remaining angles be 5x and 7x.68°+76°+5x+7x=360°12x+144°=360°12x=360°-144°

Let the remaining angles be 5x and 7x.68°+76°+5x+7x=360°12x+144°=360°12x=360°-144°12x=216°

$x = \frac{216}{12}$

x=18°

1st unknown angle=5x=5×(18°)=90°

2nd unknown angle=7x=7×(18°)=126°