ABCD is a quadrilateral.$ ∢A=80 $$ ∢C=95 $$ ∢D=45 $Calculate the size of $ ∢B $.AAABBBDDDCCC809545

Name: Video Solution: Find Angle B in a Quadrilateral with Angles 80°, 95°, and 45°
Description: Step-by-step video solution

Find Angle B in a Quadrilateral with Angles 80°, 95°, and 45°

ABCD is a quadrilateral.

$∢A=80$

$∢C=95$

$∢D=45$

Calculate the size of $∢B$ .

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Step-by-step video solution

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00:00 Calculate angle B

00:06 The sum of angles in any quadrilateral is always equal to 360

00:18 Substitute appropriate values according to the given data

00:37 Group terms and isolate B

01:10 And this is the solution to the problem

Step-by-step written solution

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Understand the problem

ABCD is a quadrilateral.

$∢A=80$

$∢C=95$

$∢D=45$

Calculate the size of $∢B$ .

Step-by-step solution

We know that the sum of the angles of a quadrilateral is 360°, that is:

$A+B+C+D=360$

We replace the known data within the following formula:

$80+B+95+45=360$

$B+220=360$

We move the integers to one side, making sure to keep the appropriate sign:

$B=360-220$

$B=140$

Final Answer

140°

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Find Angle B in a Quadrilateral with Angles 80°, 95°, and 45°

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Step-by-step video solution

Step-by-step written solution

Understand the problem

Step-by-step solution

Final Answer

Practice Quiz

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