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3 years ago

[2x+4] -[-x+5 ]subtract linear expressions

Mathematics

1 answer:

Olin [163]3 years ago

6 0

(2x +4 ) - (x+5)

when we open the brackets the sign (-) will change to (+) so,

2x+4 - x-5

x+4-5

x-1

<h3>Hope this helps you mate </h3>

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Given:

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To find:

The $m\angle AOB$ .

Solution:

If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.

We have, DC is parallel to BA and BC is the transversal line.

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In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.

We know that base angles of an isosceles triangle are congruent.

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In triangle AOB,

$m\angle OAB+m\angle OBA+m\angle AOB=180^\circ$

$30^\circ+30^\circ+m\angle AOB=180^\circ$

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$m\angle AOB=120^\circ$

Therefore, the measure of angle AOB is 120 degrees.

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