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Step2247 [10]
8 months ago
7

Look at thetriangles diagram. The value of x is ___ °

Mathematics
1 answer:
NemiM [27]8 months ago
4 0

By solving a linear equation we will see that the value of x is 10.

<h3></h3><h3>How to find the value of x?</h3>

Remember that for any triangle, the sum of all internal angles is always equal to 180°.

Here only look at triangle BCD, we know that:

m∠DBC = m∠ABC = 3x

m∠BCD = m∠ACB + m∠ABD = 2x + 65°

m∠ADC = 65°

Now we can write the linear equation as:

3x + 2x + 65° + 65° = 180°

5x + 130° = 180°

5x = 180° - 130°

5x = 50°

x = 50°/5 = 10°

The value of x is 10.

Learn more about triangles:

brainly.com/question/14285697

#SPJ1

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