Question

Two angles of a pentagon are in the ratio 3:4 . three other angles are 100 degree 110 degree and 120 degree find the remaining angles

Answer 1

LET THE NUMBER THAT SHOULD BE MULTIPLIED TO MAKE THE RATIO EQUAL TO THE OTHER ANGLES BE x
THEREFORE-> 3x+4x+100+110+120=540
->7x+210+120=540
->7x+330=540
->7x=540-330
->x=210÷7
->x=30
THE FIRST ANGLE=3×x
=3×30
=90 DEGREE
THE SECOND ANGLE=4×x
=4×30
=120 DEGREE
TO CHECK AND VERIFY THE ABOVE SUM FOLLOW THESE STEPS:-
3x+4x+100+110+120=540
90+120+100+110+120=540
210+100+110+120=540
310+110+120=540
420+120=540
540=540
CHECKED AND VERIFIED