Question

an exterior angle of a triangle is 100degree and one of the interior opposite angles is 30 degree find the measure of another two angles of the triangle​

Answer 1

Answer:

hope this may help u

Step-by-step explanation:

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Answer 2

Answer:

angles of triangle are 30°,70°,80°

Step-by-step explanation:

lets the missing angles be x and y

sum of exterior angle is equal to the sum of opposite interior angles

so,

exterior angle = sum of opposite interior angle

100° = 30°+x

100°-30° = x

70° = x

now by angle sum property of triangle which states that sum of all the angles of triangle is 180°

so,

30°+x+y = 180°

30°+70°+y = 180°

100°+y = 180°

y = 180°-100°

y = 80°

OR

a exterior angle forms a linear pair with angle next to it

so,

100°+y = 180°

y = 180°-100°

y = 80°

hope this helps :)