Question

the sum of two angles of a quadrilateral is 150⁰and the others angels are in the ratio 2:3find the some of each angels​

Answer 1

$\huge \fbox \pink{Answer:}$

• The sum of first angle second angle = 150°

• 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°

$∴150° + 2x + 3x = 360°$

$⇒5x = 210°$

$⇒x = 42°$

Now,

$⇒2x = 2 \times 42° = 84°$

$⇒3x = 3 \times 42° = 126°$

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

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Answer 2

$\huge \mathcal \colorbox{lightpink}{{Solution:}}$

⇒ The sum of first angle second angle =150°

⇒ 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°.

∴ 150° +2x+3x=360°

⇒ 5x=210°

⇒ x=42°

⇒ Now, 2x=2×42° =84°

⇒ 3x=3×42° =126°

⇒ The measure of two angles are 84° and 126°.

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