Question

if two angles of a quadrilateral are 40°and 110° and the other two are in the ratio 3:4,find the angle​

Answer 1

Answer:

90.

120

Step-by-step explanation:

LET THE OTHER ANGLE ARE 3x and 4x.

$40 + 110 + 3x + 4x = 360 \: \: \: angle \: sum \: property \\ \\ 7x = 360 - 150 \\ \\ 7x = 210 \\ \\ x = 30$

THEREFORE OTHER ANGLE ARE 3*30 AND 4*30

= 90 AND 120.

Answer 2

Answer:

we  know that sum of the angles of a quadrilateral is 360°.

Given that two angles are 40° and 110° now sum of remaining angles is

360°-(40°+110°)=210°

Let remaining angle are 3x and 4x

Now 3x+4x=210° or

7x=210°

or x=30°

Then the angles are 3×30°=90°

and 4×30°=120° Ans.

Step-by-step explanation: