If a transversal intersects two parallel lines such that the ratio between the interior angles on one of its side is 2:7, then what is the measure of greater angle? *
20°
140°
150°
120°
Answers
Answered by
18
Answer:
2x+7x = 180
9x = 180
x = 20
Hence, the measure of greater angle is 140 Ans~
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Answered by
1
Given:
A transversal intersecting two lines
The ratio between interior angles = 2:7
To Find:
The measure of the greater angle
Solution:
Let the first angle be = 2x
Le the second angle be = 7x
Therefore, substituting in equation
2x+7x = 180
9x = 180
x = 180/90
x = 20
Since, the value of x is 20, we will substitute it in the greater angle which is 7x.
= 7 x 20
= 140
Answer: Hence, the measure of the greater angle is 140°
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