Question

Question 2 Which equation would you use to solve for x? Not yet an Marked ou P Flag que 620 х x Web 10 O a. tan 62 = 10/x O b. sin 62 = 10/X oc. tan 62 = x/10 O d. cos 10 = x/62 E Type here to search 90​

Answer 1

Step-by-step explanation:

Given, ∠X=62∘,∠XYZ=54∘

YO and ZO are the bisectors of ∠XYZ and ∠XZY respectively.

According to the question

∠X+∠XYZ+∠XZY=180∘ (Sum of the interior angles of the triangle.)

⇒62∘+54∘+∠XZY=180∘

116∘+∠XZY=180∘

∠XZY=64∘

Now, ∠OZY=21∠XZY(ZO is the bisector.)

⇒∠OZY=32∘

Also ∠OYZ=21∠XYZ (YO is the bisector.)

⇒∠OYZ=27°

Now, ∠OZY+∠OYZ+∠O=180∘ (Sum of the interior angles of the triangle.)

⇒32∘+27∘+∠YOZ=180∘

⇒59∘+∠YOZ=180∘

⇒∠YOZ=121