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morpeh [17]
3 years ago
13

Given the following diagram, find the missing measure. m 4 = 2x°, m 2 = (4/3)x°, m 3 = 20°, find x. 10 30 20 60

Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

<em>B. 30 degrees</em>

Step-by-step explanation:

Find the diagram attached

From the diagram:

Interior angles are m<3 and m<2

Exterior angle = <4

using the rule that says that the sum of interior angles is equal to the exterior angle we have:

m<2+m<3 = m<4

(4/3)x°+20 = 2x°

multiply through by 3:

4x° + 60 = 6x°

4x°-6x° = -60

-2x° = -60

x°= -60/-2

<em>x° = 30°</em>

Hence the value of x is 30 degrees

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