please help to me plz friends
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Answers
Answered by
4
Answer:
here's your answer......
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Answered by
4
ANSWER:
Value of C = 126°
______________
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 = 
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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