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Find the measure of the third angle of a triangle if the measures of the other two angles are given. 35.5 and 82.6

Sagot :

iciclepiano18

Answer:

61.9°

Step-by-step explanation:

The angles of a triangle always add up to 180°. Using this information along with the values of two of the three angles, we can set up an equation to find the measure of the third angle.

Set up an Equation

Let the measure of the third angle be represented as "x". The first angle + the second angle + the third angle must equal 180 therefore...

[tex]35.5+82.6+x=180[/tex]

Solve the Equation

Start by adding the like terms on the left side of the equation:

[tex]118.1+x=180[/tex]

Then, subtract both sides by 118.1:

[tex]x=61.9[/tex]

Therefore the measure of the third angle of the triangle is 61.9°.

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