40. Two adjacent supplementary
angles are (3x+10)° and (4x- 26)° ,find
X
O O
26
24
O
28
O
22
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The correct answer is option (c) 28.
Given,
Two adjacent supplementary angles are (3x+10)° and (4x- 26)°.
To Find,
The value of x.
Solution,
Supplementary angles are those angles that sum up to 180 degrees. For example, angle 130° and angle 50° are supplementary angles because the sum of 130° and 50° is equal to 180°. Similarly, complementary angles add up to 90 degrees.
Now, the sum of (3x+10)° and (4x- 26)° will also be 180°.
So,
(3x+10)+(4x- 26) = 180
7x-16 = 180
7x = 196
x = 196/7
x = 28.
Hence, the value of x is 28.
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