Question

In triangle XYZ, XY= XZ. A straight line cuts XZ at P, YZ at Q and XY produced at R. If YQ=YR and QP=QZ find the angles of triangle XYZ.

Plz answer.....
it's urgent.....​

Answer 1

ANSWER:-

THE  ANGLES  OF  THE  TRIANGLES  ARE  

XYZ  =  45  DEGREE

YZX  =  45  DEGREE

ZXY  =  90  DEGREE

EXPLANATION;-

AS WE KNOW THAT SUM OF ALL THE ANGLES OF THE TRIANGLE  =  180  DEGREE

ACCORDING TO THE QUESTION ,

IT IS THE ISOSCELES TRIANGLE SO TWO LINE SEGMENT ARE EQUAL SO THEIR ANGLES ARE ALSO EQUAL SO 45 DEGREE + 45 DEGREE = 90 DEGREE  

SO,

180 DEGREE - 90 DEGREE = 90 DEGREE

THEREFORE,

THE REST PART OF THE ANGLE OF THE XYZ TRIANGLE IS 90 DEGREE.

HOPE  THIS  HELP  YOU  !

Answer 2

Answer:

ΔXYZ is an isosceles triangle. Angles opposite to equal sides of an isosceles triangle are equal.

Thus, if XY=YZ, then ∠Z=∠X.

HOPE IT HELPS,

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