Answer:
4) ΔSPT ≅ ΔQRT
5). <a = 101°
Step-by-step explanation:
4).
From the figure we get PS ║ RQ
ST = TQ [ Since T is the midpoint of SQ ]
P<T = TR [ Since T is the midpoint of PR ]
m<STR = m<QTR [ Vertically opposite angles are equal]
By SAS congruence ΔSPT ≅ ΔQRT
5).
From the figure in the question 5 we can see a rectangle.
Opposite side of rectangles are parallel and equal.
Therefore the pathway can be considered as a traversal on the parallel lines.
Therefore the <A and 79° are interior angles on the same side.
m<A + 79 = 180
m<A = 180 - 79
m<A = 101°
