Question

14.In the given figure AB|CD|EF and GH|KL .The measure of angle HKL is (a) 95^(@) (b) 145^(@) (c) 130^(@) (d) 135^(@)​

Answer 1

Answer:

The correct answer is B) 145

Answer 2

Given: In the given figure AB|CD|EF and GH|KL.

To find: The measure of angle HKL.

Solution:

The angle HKL is the sum of the angles HKA and AKL.

$\angle HKL = \angle HKA + \angle AKL$

The angle HKA is equal to angle KHD because they are alternate interior angles.

$\angle HKA = \angle KHD$

            $= 30$

The angle LKB is equal to 65° because they are alternate exterior angles.

$\angle LKB = 65$

The angles AKL and LKB are supplementary because they are adjacent to each other.

$\angle AKL + \angle LKB = 180$

$\angle AKL = 180 - 65$

           $= 115$

Thus, the angle HKL is calculated to be

$\angle HKL = \angle HKA + \angle AKL$

           $=30 + 115$

           $= 145$

Therefore, the measure of angle HKL is 115°.