Question

fj is tangent to ⊙g. what is m∠k? m∠k =
work it out
not feeling ready yet? these c
pythagorean theorem (100)
lesson: tangent to a circle

Explanation:

Step1: Recall tangent - radius property

A tangent to a circle is perpendicular to the radius at the point of tangency. So, $\angle GKJ = 90^{\circ}$.

Step2: Use angle - sum property of a triangle

In $\triangle GKJ$, we know that the sum of the interior angles of a triangle is $180^{\circ}$. Let $\angle J=35^{\circ}$, $\angle GKJ = 90^{\circ}$, and we want to find $\angle K$. Using the formula $\angle K+\angle J+\angle GKJ=180^{\circ}$, we can solve for $\angle K$.

$$
LATEXBLOCK0
$$

Answer:

$55$