Math, asked by thrinathk98, 7 months ago

please help to me plz friends​

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Answered by Anonymous
4

Answer:

here's your answer......

Attachments:
Answered by Anonymous
4

ANSWER:

Value of C = 126°

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SOLUTION:

Given :

Find C

  • / POY = 90°

  • a : b = 2 : 3

To find:

Angle C

We first have to find / A ( MOP ) and / B ( XOM )

a : b = 2 : 3

Let it be 2x and 3x

/ XOM + / MOP + / POY = 180°

( linear pair )

3x + 2x + 90° = 180°

5x + 90° = 180°

5x = 180° - 90°

x = \frac{90°}{5}

x = 18°

.

So , the value of x is 18°

that means 2x = 2(18) = 36°

and 3x = 3(18) = 54°

.

3x + 2x + 90° = 180°

54° + 36° + 90° = 180°

180° = 180°

LHS = RHS

_______________________

Now , let's find angle C

angle B + angle C = 180°

(linear pair )

  • angle B = 54°

54° + angle C = 180°

angle C = 180° - 54°

angle C = 126°

Let's check!

LHS (left hand side)

54° + 126°

= 180°

RHS = 180°

LHS = RHS

Hence , checked

__________________________

Final answer:

Value of C = 126°

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