Question

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Answer 1

Answer:

GIVEN: TRIANGLE PQR = TRIANGLE STU

IN TRIANGLE PQR, WE GET ANGLE Q =60 DEGREE AND ANGLE R= 30 DEGREE

IN TRIANGLE STU ANGLE T= 60 DEGREE

TO FIND: X AND Y

NOW, IN TRIANGLE PQR

ANGLE(P+Q+R)=180 DEGREE

THEREFORE, ANGLE P + 60 + 30 = 180 DEGREE

ANGLE P =(180-90)DEGREE

ANGLE P= 90 DEGREE

AGAIN, IN TRIANGLE STU

ANGLE S = Y = 90 DEGREE [ SINCE TRIANGLE PQR IS CONGRUENT TO TRIANGLE STU

THEREFORE ANGLE P = ANGLE S = 90 DEGREE ]

ANGLE T = 60 DEGREE [ GIVEN ]

ANGLE U = X = 30 DEGREE [ SINCE TRIANGLE PQR IS CONGRUENT TO TRIANGLE STU

THEREFORE ANGLE R = ANGLE U = 30 DEGREE]

HENCE VALUE OF X AND Y IS 90 AND 30 DEGREE RESPECTIVELY.

HOPE THIS WILL HELP YOU...