Question

An exterior angle of a triangle is 105° and its interior opposite angles are equal.
Each of these equal angles is :
(a) 750
(b) 52
(c) 42
(d) 2
2
2
5. The angles of a triangle are in the ratio 5: 3:10. The angles are :
(a) 259, 15. 50°
(b) 50°, 30°, 100° (c) 75°, 45°, 150° (d) 45°, 27°, 90°​

Answer 1

Answer:Sum of two interior opposite angles = exterior angle Let the equal angles x° and x° x°+x°= 105° 2x°= 105° x°= 105/2 x°= 52.5SO EACH EQUAL ANGLE MEASURE 52.5°Let the angles be 5x,3x,105x+3x+10x = 180° 18x = 180° x = 180/18 x = 10° THEREFORE, 5x = 50° 3x = 30° 10x = 100°SO THE ANGLES ARE 50°,30° and 100°

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