Question

50 POINTS FOR WHOEVER ANSWERS EVERYTHING AND QUICKLY WILL GET REPORTED IF NOT EVERYTHING

are any of the triangles shown below mathematically similar? What is the measurements of angle P in triangle PRQ, angle S and T in triangle SUV, and angle W and X in triangle VXW.

(I solved for triangle PRQ but I can’t figure out the other two)

Answer 1

T = 80

U = 20

W = 20

X = 80

Explanation:

If two sides of a triangle is equal then it is isosceles and it's base angles are equal as well

Answer 2

• Given and explained below.

note 1: total interior angles of a triangle is 180°

note 2: two arrows on opposite sides represents, they have same angle

solve 1:

m∠QPR = 180° - 20° - 80° = 80°

solve 2:

as m∠UST = m∠UTS = 80° because as its an isosceles triangle

m∠SUT = 180° - 80° - 80° = 20°

solve 3:

as m∠XVW = m∠XWV = 20° because as its an isosceles triangle

m∠VXW = 180° - 20° - 20° = 140°