Step-by-step explanation:
in the given figure ,
the two sides of the triangle are equal , so their opposite angles are equal .
so , we get
=》Angle RPQ = Angle PRQ = 65°
and some of interior angels of the triangle measures 180°
so,
=》RPQ + PRQ + RQP = 180°
=》65° + 65° + RQP = 180°
(Because RPQ = PRQ = 65°)
=》130° + RQP = 180°
=》RQP = 50°
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To get the coordinates of C we shall proceed as follows:
AB:BC=1:4
B-A=[(-3--7),(-5--8)]=(4,3)
4(4,3)=(16,12)
thus the coordinates of C will be:
(16-3,-5+12)
=(13,7)