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IRISSAK [1]
3 years ago
13

Help, need the unknown angle

Mathematics
2 answers:
dsp733 years ago
6 0

Answer:

110° = x

Step-by-step explanation:

According to the Exterior Angles Theorem, which states that the external angle measurement of a triangle is greater than any of the distant internal angle measurements, the <em>remote interior angles</em> and the exterior angle are OPPOSITE each other, so you set them equal to each other:

°45 + 65° = x

110° = x

I am joyous to assist you anytime.

Mashcka [7]3 years ago
4 0

Answer:

x = 110°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an external angle to the triangle, thus

x = 65° + 45° = 110°

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Answer:

x=4+-2\sqrt{7}

Step-by-step explanation:

To solve, we need to take square root of both sides first:

(x-4)^2=28\\\sqrt{(x-4)^2} =+-\sqrt{28} \\x-4=+-\sqrt{28}

Now we use the property of radical shown below to simplify square root of 28:

Property:  \sqrt{x*y}=\sqrt{x} \sqrt{y}

Now, we have:

x-4=+-\sqrt{28}\\x-4=+-\sqrt{4*7}\\x-4=+-\sqrt{4}\sqrt{7}\\x-4=+-2\sqrt{7}

Now we take 4 to the other side and isolate x:

x-4=+-2\sqrt{7} \\x=4+-2\sqrt{7}

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4 years ago
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Rufina [12.5K]

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Step-by-step explanation:

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