Question

11:59

Question 1
2 pts
In isosceles triangle JKL, JK KL. If the measure of
angle J is 47°, find the measure of angle K.
*Note: Do NOT include the degree in your answer.

Answer 1

86

Explanation:

Since ∆JKL is an isosceles triangle, it's base angles (<L and <J) would be equal to each other.

<L is opposite to side JK, <J is opposite to side KL.

m<J is given as 47°. Therefore,

m<L = m<J = 47°

m<L = 47°

m<J + m<L + m<K = 180° (sum of triangle)

47° + 47° + m<K = 180° (substitution)

94° + m<K = 180°

m<K = 180° - 94°

m<K = 86°