the measure of one of the angles forming linear pair is 50°less than the measure of the other angle. find their measures
Answers
Answer:
My dear question will be 50 more than other angle.
Here is your answer.
Step-by-step explanation:
Let one angle be x
and other be y
A.T.Q :
x + y = 180 [ linear pair ]----i
x = 50+y -----ii
Put ii in i , we get
50 + y +y = 180
2y = 180 - 50
y = 130/2
y = 65
put y in ii
x = 115
Hope it will help you...
Mark it as brain-list.
Concept
The sum of measures of angles forming a linear pair is always 180.
Given
the measure of one of the angles forming a linear pair is 50° less than the other.
Find
we need to find the measure of both the angles.
Solution
Let the measure of one of the angles be x
Then the measure of the second angle will be = x - 50
Now, the sum of measures of angles forming a linear pair is always 180, thus
x + x - 50 = 180
2x + 50 = 180
2x = 230
x = 115
and hence, x - 50 = 65
Thus, the measures of the two angles are 115° and 65°.
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