Question

Two angles of a quadrilateral measure 36° and 84°. The other two

angles are in the ratio 2:3. Find the third and fourth angle.​

Answer 1

Answer:

$the \: two \: angle \: of \: quadrilateral \: are \: 36 \: and84 \\ 2x + 3x + 36 + 84 = 360 \\ 5x + 120 \\ x = \frac{ 120}{5} \\ x = 24 \\ one \: angle = 48 \\ another = 144$

Answer 2

QUESTION:-

Two angles of a quadrilateral measure 36° and 84°. The other two

angles are in the ratio 2:3. Find the third and fourth angle.​

EXPLANATION:-

We know that sum of all angles of a quadrilateral if 360°

So in the question the angles are:-

36°,84°

Let the remaining two angles be:-

2x and 3x

A.T.Q

36+84+2x+3x=360

110+5x=360

5x=360-110

5x=250

x=250/2

x=25

So the angles are:-

>25x=25(2)

=50

>:3x=25(3)

=75

So the angles of the quadrilateral are 36°,84°,75°,50°