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45 votes
45 votes
Find the measures of the angles formed by two intersecting lines if the

sum of the measures of three of the four angles is 270°

50 points! Please help quick!

User Ferrouswheel
by
2.8k points

2 Answers

23 votes
23 votes

Answer:

every single angle is 90°

Explanation:

remember that,

4 angles will form if two lines intersect and the sum of those 4 angles is 360°

we are given the sum of 3 angles i.e 270

so one of the angles should be


\displaystyle {360}^(\circ) - {270}^(\circ)

simplify substraction:


\displaystyle {90}^(\circ)

therefore since one of the angles is 90° the intercepting lines are Perpendicular as a result every single angle formed by the two intercepting lines is 90°

User Vidya L
by
3.1k points
12 votes
12 votes

Answer:

90°

Explanation:

We know that sum of angle around a point is 360° . Here its already given that sum of three Angles out of 4 is 270°

Therefore :-

Measure of remaining one angle ,

  • 360 - 270
  • 90 °

Therefore the measure of the fourth angle is 90°

User Mahdi Ghajary
by
2.8k points