Question

from the figure find the measure of the angle ABC

Answer 1

this question can be done by using exterior angle property which says that sum of any two angles of a triangle is equal to the exterior angle of the third angle...

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Answer 2

Answer:

The measure of angle ACD is 110°.

Step-by-step explanation:

If you meant, from the figure find the measure of the angle ACD

Given from the figure, ΔABC  with ∠A = 70°, ∠B = 40°.

As the internal angles of a triangle sums up to 180°.

∠A + ∠B + ∠C = 180°

70° + 40° + ∠C = 180°

∠C = 180° - 110°

∠C  = ∠ACB = 70°

∠ACD can be calculated by two methods.

Method 1:

Since BCD is a straight line, the sum of angles on it at any point should be 180°.

At point C, the sum of angles ∠ACB + ∠ACD = 180°

∠ACD = 180° - 70°

Hence, the value of ∠ACD = 110°

Method 2:

Here ∠ACD is an exterior angle. So, by using exterior angle property, we can calculate the required angle ∠ACD.

What is exterior angle property?

The exterior angle property states that, when a side of a triangle is extended, the value of the exterior angle formed is the sum of the two interior opposite angles.

The two interior opposite angles to ∠ACD are ∠A = 70°, ∠B = 40°.

∠ACD = ∠A + ∠B = 70° + 40°

Hence, the value of ∠ACD = 110°

Know more about properties of triangles:

Angles in a triangle

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The angles of a triangle are in the ratio 2:3:4.The largest angle of the triangle is .

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