Question

for each part below, use the figure to fill in the blank. if necessary, you may learn what the markings on a figure indicate. (a) find ( mangle k ). ( mangle k = square^circ ) (b) find ( hi ). ( hi = square )

Explanation:

Step1: Identify triangle type (a)

Triangle $LKJ$ has $LK=KJ=11$, so it is isosceles with $\angle L = \angle J = 35^\circ$.

Step2: Calculate $\angle K$ (a)

Sum of angles in a triangle is $180^\circ$.
$m\angle K = 180^\circ - 35^\circ - 35^\circ = 110^\circ$

Step3: Identify triangle type (b)

Triangle $GHI$ has $\angle G = \angle I$, so it is isosceles with $HI = GH$.

Step4: Find length of $HI$ (b)

Given $GH=8$, so $HI=8$.

Answer:

(a) $110$
(b) $8$