Question

The angles of quadrilateral are in the ratio 1:2:3:4. The measure of the largest angles is *64°
90°
80°
72​

Answer 1

Answer:

Step-by-step explanation:

largest angle = 4/(10)*360= 4 * 36

=144 degrees

Answer 2

Answer:

Given ratio of angles of quadrilateral ABCD is 1:2:3:4.

Let the angles of quadrilateral ABCD be 1x,2x,3x,4x, respectively.

We know, by angle sum property, the sum of angles of a quadrilateral is 360

o

.

⇒1x+2x+3x+4x=360

o

⇒10x=360

o

∴x=36

o

.

∴∠A=1x=1×36

o

=36

o

,

∠B=2x=2×36

o

=72

o

,

∠C=3x=3×36

o

=108

o

and ∠D=4x=4×36

o

=144

o

.

∴ The largest angle =144

o

.

Hence, option D is correct.