Question

Two angles of a quadrilateral are 78 and 87 degrees. if the other two angles are in the ratio 5: 8 find he measure of each of them

Answer 1

Answer:

□/_A=78°✔✔

□/_B=87°✔✔

□/_C=45°✔✔

□/_D=120°✔✔

Step-by-step explanation:

$\huge{\boxed{\sf{SOLUTION-}}}$

□/_A=78°✔✔

□/_B=87°✔✔

○/_C=5X°

○/_D=8X°

$let \: the \: angle \: be \: 5x \: and \: 8x \\ so \: according \: to \: question \\ a + b + c + d = 360 \: degree \\ 78 + 87 + 5x + 8x = 360 \\ = ) 13x = 360 - 165 \\ =) 13x = 195 \\ = )x = \frac{195}{13} \\ = )x = 15 \\ c = 5x = 5 \times 15 = 45degee \\ d = 8x = 8 \times 15 = 120degree$

Answer 2

Answer:

Let the angle be 5x and 8x...

According to the question

~a+b+c+d = 360°

~78+87+5x+8x = 360°

~13x+165 = 360°

~13x = 360 —165

~13x = 195

~x = 195÷13

~x = 15

~5x+15 = 75°

~8x+15 = 120°

The measure of each of them angle is 75° and 120°

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