12. If lines are parallel, find a pair of interior
angles on the same side of the transversal that
measure (5x – 80) and (2x + 50° respectively.
*7
7
Answers
Answered by
0
Answer:
70 degree and 110 degree
Step-by-step explanation:
(5x-80 ) +( 2x +50)= 180 degree. ( a property)
x=30 , 1st angle =70 degree , 2nd angle =110 degree
Answered by
5
ANSWER:
(Refer attachment for figure)
Given:
- Interior angles in the figure measure (5x - 80)° and (2x + 50)°
To Find:
- Those angles.
Solution:
We are given that, the interior angles are (5x - 80)° and (2x + 50)°.
But, we know that, interior angles formed by a transversal when 2 lines are parallel to each, are supplementary. Or, they are a linear pair.
This means:
⇒ Sum of angles = 180°
So,
⇒ (5x - 80)° + (2x + 50)° = 180°
⇒ 5x - 80 + 2x + 50 = 180
⇒ (5x + 2x) - (80 - 50) = 180
⇒ 7x - 30 = 180
Transposing 30 to RHS,
⇒ 7x = 180 + 30
⇒ 7x = 210
Transposing 7 to RHS,
⇒ x = 210/7
⇒ x = 30
So, the angles are:
- 5x - 80 = 5(30) - 80 = 150 - 80 = 70
- 2x + 50 = 2(30) + 50 = 60 + 50 = 110
Therefore, the angles are 70° and 110°.
Attachments:
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