Question

the sum of two angles of a quadrilateral is 150° and the other angles are in the ration 2:3 find the measure of each angle.​

Answer 1

Answer:

⇒ The sum of first angle second angle =150

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⇒ 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

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.

∴ 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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Step-by-step explanation:

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Answer 2

⇒ 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
o
+2x+3x=360
o

⇒ 5x=210
o

⇒ x=42
o

⇒ Now, 2x=2×42
o
=84
o

⇒ 3x=3×42
o
=126
o

⇒ The measure of two angles are 84
o
and 126
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