One angle in a triangle has a measure of 87 degrees. What can you conclude about the other two angles?

Someone solve this for me pls

sladkih [1.3K]

<h2>Answer:-</h2>

$\pink{\bigstar}$ The measure if ∠x $\large\leadsto\boxed{\tt\purple{43^{\circ}}}$

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• To Find:-

Measure of $\angle$ x

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<h3>• Solution:-</h3>

The given angles are made by a straight line. We know that the total angle made by a straight line is 180°.

Therefore, all the angles should sum upto 180°.

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• Working:-

➪ $\sf (x + 31^{\circ}) + (x + 20^{\circ}) + (x) = 180^{\circ}$

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➪ $\sf x + 31^{\circ} + x + 20^{\circ} + x = 180^{\circ}$

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➪ $\sf 3x + 51^{\circ} = 180^{\circ}$

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➪ $\sf 3x = 180^{\circ} - 51^{\circ}$

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➪ $\sf 3x = 129^{\circ}$

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➪ $\sf x = \dfrac{129}{3}$

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★ $\large{\bold\red{x = 43^{\circ}}}$

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Therefore, the measure of the ∠x is 43°.

5 0

3 years ago

The area of Chile is approximately 2*10^6 square kilometers the area Bosnia is approximately 9*10^4 square kilometers what is th

Eddi Din [679]

Answer:

2,090,000

Step-by-step explanation:

Area = Area of Chile + Area of Bosnia

Area of Chile = 2*1000000

Area of Bosnia = 9*10000

Area = 2,000,000 + 90,000

Area = 2,090,000

6 0

2 years ago

Read 2 more answers

Could someone help me with this word problem? I have no idea how to solve it. Also, please don't give me the answer.

miss Akunina [59]

He spent 5/6 of his life in america.

6 0

3 years ago

I'll give the usual stuff of brainliest and thanks to the first person, plus some extra points.

tino4ka555 [31]

Answer:

I really don't get your question

6 0

3 years ago

It is given that AB is parallel to CD and points E, G, H, and F are collinear. The measure of ZEGF is 180°, by the definition of

alex41 [277]

The completed statement filled in with the correct option is presented as follows;

It is given that AB is parallel to CD and points, E, G, H, and F are collinear. The measure of ‹EGF is 180° by the definition of a straight angle. ‹AGE and ‹AGF are adjacent, so the measure of ‹AGE plus the measure of ‹AGF equals the measure of angle ‹EGF. It can be said that the measure of ‹AGE plus the measure of ‹AGF equals 180°. ‹CHE and ‹AGF are same side interior angles, so the measure of angle ‹CHE plus the measure of angle ‹AGF equals 180°.

Substituting once again means that the measure of ‹AGE plus the measure of angle ‹AGF equals the measure of angle ‹CHE plus the measure of ‹AGF. The measure of angle ‹AGE is equal to the measure of ‹CHE using the Subtraction Property of Equality. Finally, by the definition of congruency, ‹AGE is congruent to ‹CHE

The correct option is therefore;

‹CHE and ‹AGE are same side interior angles; using the Subtraction Property of Equality

<h3>What relationships between angles formed by parallel lines can be used to complete the paragraph?</h3>

Angles, ‹CHE and ‹AGF are angles formed on the same side of the common transversal, EF, and are formed on the interior part of AB and CD.

Given that ‹CHE and ‹AGF are both on the line FGHE, and together with ‹CHF and ‹AGE form two linear pair angles, ‹CHE and ‹AGF are supplementary angles and add up to 180°.

According to the substitution property of equality, both sides of an equation remain equal following the subtraction of the same quantity from both sides.

Given that we have:

‹AGE + ‹AGF = ‹CHE + ‹AGF

Subtracting ‹AGF from both sides gives;

‹AGE = ‹CHE (subtraction property of equality)

Learn more about the angles formed by parallel lines here:

brainly.com/question/17430387

#SPJ1

3 0

1 year ago