Question

1. The sum of two angles of a quadrilateral is 150° and the other two angles are in the ratio 2:3. Find the
measure of each angle.
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Answer 1

Step-by-step explanation:

The sum of first angle second angle =150

o

⇒ The ratio of third and fourth angle is 2:3

⇒ Let third angle fourth angle be 2x and 3x.

We know that in quadrilateral sum of four angles is 360

o

.

∴ 150

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+2x+3x=360

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⇒ 5x=210

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⇒ x=42

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⇒ Now, 2x=2×42

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=84

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⇒ 3x=3×42

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=126

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⇒ The measure of two angles are 84

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and 126

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Answer 2

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$\large \tt \red{✦Answer✦}$

Total degree of quad =angle1+2+3+4

A quad has 360degree

1and2 angle=150degree

Ratio of 3 and 4=2:3

So we take them as 2x and 3 x

360=150+2x+3x

210=5x

210/5=x

42=x

2x=42*2=84

3x=42*3=126

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