Question

1. ADEF and ARSQ are shown in the diagram below.3.1cm980s5cmЗcm1.5cm2.5cm28.70RE6.2cmBased on the information provided in the diagram, what is the m2Q in degrees (to the nearest tenth)?

Answer 1

By looking at the triangles we can see that the angle sare congruent:

D=R =98°

F= Q

E= S =28.7°

The sum of all interior anlges of a trianlge is equal to 180°.

So:

D+F+E = 180°

98+F+28.7 = 180

Solve for F

F= 180-28.7-98

F= 53.3°

Since

F and Q are congruent:

Q= 53.3°