Question

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!

Answer 1

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°

Answer 2

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°