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Square ABCD shown below is composed of several triangles. What is the value of t°?

A. 30°

B. 40°

C. 50°

D. 60°

PLEASE ANSWER BRAINLIEST Square ABCD shown below is composed of several triangles What is the value of t A 30 B 40 C 50 D 60 class=

Respuesta :

the correct answer is B


good luck!

Answer:

B

Step-by-step explanation:

let the point where ∠t° is made be O and point where ∠35 be P

the given figure is square in a square every angle is 90°

therefore ∠D=∠C= 90°

in triangle DOP, ∠DOP= 180-(50+35)= 95°

also in triangle ∠CDO= 90-50= 40°

∠DCO= 90-60= 30°

and then ∠DOC= 180-(40+30)= 110°

now 115°+∠POD+∠DOC+t°=360  (angle at a point)

115+110+95+t=360

⇒t= 40°

hence option B is the correct answer

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