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2 years ago

PLEASE HELP!!!!! What is the value of x? * 31° 53°

Mathematics

2 answers:

m_a_m_a [10]2 years ago

8 0

X= 96

I am doing angel right now and I’ve don’t that one before it isn’t that hard.

IgorC [24]2 years ago

3 0

Answer:

X = 96

Step-by-step explanation:

This one is pretty simple

So we're dealing with angles here.

So what we want to do is add the two angles and it =180

Here's the equation so it makes more sense:

$A+B=180$

so we'd place in those numbers

$53+31=180$

add the two angles together

$53+31=84$

than we'd subtract from 180 getting the value of X

$180-84=96$

$x=96$

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If H is in the interior of ∠EFG, m∠EFH = 75°, and m∠HFG = (10x)°, and m∠EFG = (20x − 5)°, then x = ? and m∠HFG = ?

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Step-by-step explanation:

Given that:

Point $H$ is interior of $\angle EFG$ .

$m\angle EFH = 75^\circ\\m\angle HFG = (10x)^\circ\\m\angle EFG = (20x-5)^\circ$

To find:

$x = ?\\m\angle HFG = ?$

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First of all, let us represent the given values in the form of a diagram.

Kindly refer to the attached image for the given points and values of angles.

We can clearly see that:

$m\angle EFG = m\angle EFH + m\angle HFG$

Putting all the values given in above equation, we get:

$(20x-5)^\circ = 75^\circ + 10x^\circ\\\Rightarrow 20x-10x=75+5\\\Rightarrow 10x =80\\\Rightarrow \bold{x =8}$

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