Question

The sum of two angles of a quadrilateral is 1450. The other two angles are in the ratio 2:3. Find those two angles.

Answer 1

Answer:

The sum of first angle second angle =150o

⇒ 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 360o .

∴ 150o

+2x+3x=360o

⇒ 5x=210o

⇒ x=42o

⇒ Now, 2x=2×42o =84o

⇒ 3x=3×42o =126o

⇒ The measure of two angles are 84o and 126o

Step-by-step explanation:

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Answer 2

Answer:

Ans. = 43.

Step- by-Step explanation:

Sum of two angles is 145.

Other two angles are in the ratio 2:3.

Let common multiple be x.

So, the measure of other two angles is 2x and 3x.

We know that the sum of measure of all angles of the quadrilateral is 360° .

So,

145 + 2x + 3x = 360°

5x = 360° - 145°

5x = 215

x = 215/5

x = 43°

So, your answer is:

1st angle = 2 × 43 = 86°

2nd angle = 3 × 43 = 129°

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