Question

if the measure of an exterior angle of a triangle is 3x - 10 And the measure of the interior opposite angles are 25 degree and x+15 find x and hence the value of all the three angles​

Answer 1

Answer:

Step-by-step explanation:

GIVEN

Exterior angle = 3x - 10

opposite angles = 25°, x + 15

25 + x + 15 = 3x - 10

40 + 10 = 3x - x

50 = 2x

x = 45

: x + 15 = 45 + 15 = 60

let the other angle be x

60 + 25 + x = 180

85 + x = 180

x = 180 - 85

x = 95

therefore the 3 Angles are 95 , 60 , 25

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Answer 2

Answer:

Step-by-step explanation:

Exterior angle = 3x-10

Interior opposite angles = 25 & x+15

Since, sum of alll angles in a triangle = 180

and, exterior angle = sum of interior opposite angles

25+x+15 = 3x-10

30+x=3x-10

20+x=3x

20=2x

x=10