1 Answer

Genshuwoodswind · Answer 1 · 2022-08-28T08:31:42+0000

Given:

The base JK of isosceles triangle HJK is produced to L and angle J=69 degrees.

To find:

The measure of angle HKL.

Solution:

According to the given information draw a figure as shown below.

In triangle HJK, JK is base and base angles of an isosceles triangle are congruent.

$\angle HJK\cong \angle HKJ$

$m\angle HJK=m\angle HKJ=69^\circ$

JKL is a straight line. So,

$m\angle HKJ+m\angle HKL=180^\circ$ (Linear pair)

$69^\circ+m\angle HKL=180^\circ$

$m\angle HKL=180^\circ-69^\circ$

$m\angle HKL=111^\circ$

Therefore, the measure of angle HKL is 111 degrees.

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