Question

if the lines m and n are parallel to each other then determine the angle <5 and <7​

Answer 1

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Answer 2

Concept-

Use the concept of interior angle ,complementary angles and vertically opposite angles to find the angles.

Given-

Line m and n are parallel to each other and ∠2 is equal to 125°.

Find-

Find the values of ∠5 and ∠7.

Solution-

angle 2 = angle 4 ( vertically opposite angles)

⇒ 125°=125°

angle 4 + angle 5 = 180° ( interior angle are complement)

⇒ 125°+ angle 5= 180°

⇒ angle 5 = 55°

⇒ angle 5= angle 7 = 55°  ( vertically opposite angle)

Hence, angle 5 and angle 7 is 55°.

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