Question

1 point
8. Triangle ABC is similar to
triangle PQR, and angle A = 32
degrees, and angle R = 65
degrees, then angle Q is
​

Answer 1

Answer:

83 °

Step-by-step explanation:

when Δ ABC is similar to ΔPQR so Angle A = Angle P, Angle B= Angle Q, Angle C= Angle R.. ( i )

then angle A = 32° Angle C = Angle R = 65°

By the angle sum property of triangle

Angle A+ Angle B+ Angle C= 180

32°+Angle B+ 65°= 180

Angle B= 180-97

Angle B = 83°

Angle B = Angle Q. ( as equation i)

Angle Q = 83° { Answer}

Answer 2

Answer:

angle Q = 83 degree

Step-by-step explanation:

we know that sum of all sides of a triangle is 360 degree

given that triangle ABC=PQR

so we know that angle A=angle P =32degree

angleB =angle Q =x

angle C=angleR = 65degree

angle P + angle Q +angle R =180 degree

32 degree+x +65degree=180 degree

97degree +x = 180degree

x= 180 degree- 97degree

= 83 degree