Answer:
74°
Step-by-step explanation:
To find the largest angle in ∆IJK we must first find the unknown variable which is v.
Angles in a triangle add up to 180.
To find v, add up all the angles and equate them to 180°
That's
36v + 17v + v + 72= 180
54v = 180 - 72
54v = 108
Divide both sides by 54
v = 2
Now substitute the value of v into the above expressions in the triangle
That's
17v = 17(2) = 34°
36v = 36(2) = 72°
v + 72 = 2 + 72 = 74°
From the above solution the largest angle for ∆IJK is 74°
Hope this helps you
