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Sidana [21]
3 years ago
14

Triangle Sum Theorem HELP ME PLEASE!!!! WILL GIVE BRAINLIEST, THANKS, AND STARS. TO CORRECT ANSWERER, SHOW WORK PLEASE

Mathematics
1 answer:
-Dominant- [34]3 years ago
5 0

Step-by-step explanation:

<h3>1) </h3>

The given triangle is right angled triangle having one of it's angle measured as 90°

<em>Also</em><em> </em><em>,</em><em> </em>The sum of the interior angle of a triangle is 180°.

Hence, in given fig.

90° + 31° + ( 3x - 1 )° = 180

121° +3x° - 1° = 180°

120° + 3x° = 180

3x = 60°

x = 20°

So, the value of x is 20°

and the measure of the angle ( 3x - 1 ) is 3 ( 20 ) - 1 = 60-1 = 59°

<h3>2) </h3>

As from above question we know that sum of interior angle of a triangle is 180°

applying the same in this question ;

angleA + angle B + angleC = 180°

x + 5x - 8 + 3x + 44 = 180

9x + 36 = 180

9x = 180 - 36

9x = 144

x = 144/9

x = 16

So, the angle B = x = 16°

also, angle A = 5x - 8 = 5 ( 16 ) - 8

= 80 - 8

= 72°

and angle c = 3x + 44

= 3(16 ) + 44 = 48 + 44 = 92°

So, A = 72° , B = 16° and C = 92°

<h3>3) [ Refer to the attached file ]</h3>

<h2>• Right angled triangle :- </h2>

<em> </em><em><u>Triangle</u></em><em><u> </u></em><em><u>having</u></em><em><u> </u></em><em><u>one</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>it</u></em><em><u>'s</u></em><em><u> </u></em><em><u>angle</u></em><em><u> </u></em><em><u>mea</u></em><em><u>sured</u></em><em><u> </u></em><em><u>as</u></em><em><u> </u></em><em><u>9</u></em><em><u>0</u></em><em><u>°</u></em><em><u> </u></em><em><u>!</u></em><em><u>!</u></em><em><u> </u></em>

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