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Ivanshal [37]
3 years ago
14

What is the measure of ∠x

Mathematics
1 answer:
scZoUnD [109]3 years ago
5 0

Answer:

∠x = 63°

Step-by-step explanation:

The exterior angle added with the measure of ∠BAC will equal 180, since they will form a straight line, so we can calculate the measure of ∠BAC:

128 + x = 180

x = 52

∠BAC = 52°

The angles in a triangle all add up to 180°, so we can set up another equation to find x:

52 + 65 + x = 180

117 + x = 180

∠x = 63°

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Given:

(a+10) and (a+20) are supplementary

To find:

Each angle

Steps:

if 2 angles are supplementary that means they add up to 180°

(a + 10) + (a + 20) = 180

   a + 10 + a + 20 = 180

              2a + 30 = 180

                      2a = 180 - 30

                      2a = 150

                        a = 150/2

                        a = 75°

Now let's find value of each angle,

a + 10 = 75 + 10

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Therefore, the value of each angle is 85° and 95° respectively

Happy to help :)

If you need any help feel free to ask

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