Sides BC,CA and BA of a triangle ABC are produced to D,Q,P respectively If angle ACD=100 and angle QAP=35, - Maths - Triangles

Question

Sides BC,CA and BA of a triangle ABC are produced to D,Q,P
respectively If angle ACD=100 and angle QAP=35, find all the angles
of the triangle

Rishabh Mittal · Accepted Answer

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"https://s3mn%20mnimgs%20com/img/shared/ck-files/ck_55f0824e22375%20jpg"
style="width: 499px; height: 297px;">
∠QAP=∠BAC=35°    Vertically opposite angles∠ACD=∠ABC+∠BAC    Exterior angle100°=∠ABC+35°∠ABC=65°∠ABC+∠BAC+∠ACB=180°     Angle sum property65°+35°+∠ACB=180°∠ACB=80°

Sides BC,CA and BA of a triangle ABC are produced to D,Q,P respectively. If angle ACD=100 and angle QAP=35, find all the angles of the triangle.