Unit 1 geometry basics homework 4 angle addition postulate answer key pdf


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Asked by maham237 @ 19/05/2021 in Mathematics viewed by 2895 People

Answered by maham237 @ 19/05/2021


Answer:

EF = 58

Step-by-step explanation:

Find the diagram of the question attached.

According to the addition postulate;

DE+EF = DF

Given

DE = 47

EF = 3x+10

DF = 9x-39

Substitute into the addition postulate formula and get x

47+3x+10= 9x-39

Collect like terms

3x-9x = -39-10-47

-6x = -96

x = -96/-6

x = 16

Next is to evaluate EF:

EF = 3x+10

EF = 3(16)+10

EF = 48+10

EF = 58

Hence the measure of EF is 58

Do you know the better answer?

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What is the angle addition postulate formula?

The Angle Addition Postulate formula states that if D is in the interior of ∠ ABC then ∠ ABD +∠ DBC = ∠ ABC. The formula applies to the angle measures of adjacent angles. The sum of the two adjacent angles will equal the measure of the larger angle that they form together.

What is segment addition postulate in geometry?

The definition of the segment addition postulate states that if we have a line segment AC and a point B within it, the sum of the lengths of the segments AB and BC will give the total length of AC.

What is angle postulate?

Angle Addition Postulate: The sum of the measure of two adjacent angles is equal to the measure of the angle formed by the non-common sides of the two adjacent angles.