Question

4. The sum of the two angles of a quadrilateral is 150°. The remaining two angles are in the ratio of 3 : 4
Find the angles.​

Answer 1

Answer:

90° and 120°

Step-by-step explanation:

⇒ The sum of first angle second angle =150°

⇒ The ratio of third and fourth angle is 3:4

⇒ Let third angle fourth angle be 3x and 4x.

We know that in quadrilateral sum of four agles is 360°

∴ 150+3x+4x=360

⇒ 7x=210

⇒ x=30°

⇒ 3x=3×30

=90°

⇒ 4x=4×30

=120°

The measure of two angles are 90° and 120°

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