Slope from two points: (-15, 2) and (-3, 18)
2 answers:
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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>
