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Maths-

General

Easy

Question

Two angles form a linear pair. the measure of one angle is 3 times the measure of the other. Find the measure of each angle.

hint Hint:

Linear pair is a pair of adjacent angles where non common sides forms a straight line.it can also be defined as two adjacent angles that add up to 180 degrees.

The correct answer is: 135 Digres

We have been given in the question that two angles form a linear pair.

We have also been given that the measure of one angle is 3 times the measure of other

We have to find the measure of each angle.

Step 1 of 1:
We have given two angle form linear pair and one angle measure three times the other
So,
Let the one angle be x
The other angle will be 3x.
Sime, both form linear pair.
So,
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x plus 3 x equals 180 to the power of ring operator end cell row cell 4 x equals 180 to the power of ring operator end cell row cell x equals 45 to the power of 0 end cell end table$
Therefore,
One angle is $x equals 45 to the power of 0$
And other angle will be
$table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 3 x equals 3 cross times 45 end cell row cell equals 135 to the power of 0 end cell end table$

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