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natima [27]
2 years ago
13

Look at the image for any information and the question thank you

Mathematics
1 answer:
mojhsa [17]2 years ago
4 0

The measure of angle CKB (m ∠CKB) is 144°

<h3>Calculating angles </h3>

From the question, we are to determine the measure of angle CKB (m ∠CKB)

First, we will determine the value of x

From the given information,

m ∠KAE = 3x

m ∠KCD = 2x

In the diagram,

m ∠KCD = m ∠AKE (<em>Alternate angles</em>)

∴ m ∠AKE = 2x

Also,

m ∠KAE + m ∠AKE + m ∠AEK = 180° (<em>Sum of angles in a triangle</em>)

3x + 2x + 90° = 180°

5x = 180° - 90°

5x = 90°

x = 90°/5

x = 18°

But,

m ∠CKB = 180° - m ∠AKE (<em>Sum of angles on a line segment</em>)

m ∠CKB = 180° - 2x

m ∠CKB = 180° - 2(18°)

m ∠CKB = 180° - 36°

m ∠CKB = 144°

Hence, the measure of angle CKB (m ∠CKB) is 144°

Learn more on Calculating measure of angles here: brainly.com/question/18359073

#SPJ1

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