Question

question
△ikn≅△hba. if m∠k = 22° and m∠n = 143°, find m∠h.
answer attempt 1 out of 2
m∠h be determined.
can
cannot

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is $180^{\circ}$. In $\triangle IKN$, we know that $m\angle K = 22^{\circ}$ and $m\angle N=143^{\circ}$. Let $m\angle I=x$. Then $x + 22^{\circ}+143^{\circ}=180^{\circ}$.

Step2: Calculate $m\angle I$

$x=180^{\circ}-(22^{\circ} + 143^{\circ})=180^{\circ}-165^{\circ}=15^{\circ}$.

Step3: Use congruent - triangle property

Since $\triangle IKN\cong\triangle HBA$, corresponding angles are equal. $\angle I$ corresponds to $\angle H$. So $m\angle H = m\angle I$.

Answer:

$15^{\circ}$