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Determine the measure of the exterior angle in the diagram

Determine the measure of the exterior angle in the diagram-example-1

2 Answers

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the measure of the exterior angle ECD is 140 degrees.

User TheMisir
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6 votes

Answer:

110°

Explanation:

The sum of the angles in a triangle is equal to 180°

So, 2x°+3x°+(3x+4)°=180°

8x°+4°=180°

8x°=180°- 4°

8x°=176°

x°=22°

The exterior angle theorem states that when a triangle's side is extended, the resultant exterior angle formed is equal to the sum of the measures of the two opposite interior angles of the triangle.

So, the exterior angle is 2x°+3x°=5x°

As we got x°=22°, then 5x°=5×22°=110°

User Pokisutra
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