Question

In a triangle if one of the exterior angle is 110° and one of the interior opposite angle is

70° find the measure of other angles of triangle. pls explain the steps too​

Answer 1

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✪QUESTION✪:-

In a triangle if one of the exterior angle is 110° and one of the interior opposite angle is 70° .find the measure of other angles of triangle.

GIVEN:-

• exterior angle = 110°
• interior angle = 70°

TO FIND:-

(All the angles of a triangle)

• ∠x
• ∠y

✪ANSWER✪:-

➥∠y:

➠sum of angles of a linear pair = 180°

➠∠y + 110° = 180°

➠∠y = 180°-110°

➠$\boxed{\sf{ ∠y = 70°}}$

➥∠x:

➠sum of angles of a triangle = 180°

➠∠x + 70° + 70° = 180°

➠∠x + 140° = 180°

➠∠x = 180° - 140°

➠$\boxed{\sf{ ∠x = 40°}}$

therefore ,

All the angles of a triangle are

• 70°
• 70°
• 40°

Answer 2

Answer:

Step-by-step explanation:

✪QUESTION✪:-

In a triangle if one of the exterior angle is 110° and one of the interior opposite angle is 70° .find the measure of other angles of triangle.

GIVEN:-

exterior angle = 110°

interior angle = 70°

TO FIND:-

(All the angles of a triangle)

∠x

∠y

✪ANSWER✪:-

➥∠y:

➠sum of angles of a linear pair = 180°

➠∠y + 110° = 180°

➠∠y = 180°-110°

➠

➥∠x:

➠sum of angles of a triangle = 180°

➠∠x + 70° + 70° = 180°

➠∠x + 140° = 180°

➠∠x = 180° - 140°

therefore ,

All the angles of a triangle are

70°

70°

40°

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