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Luba_88 [7]
2 years ago
14

Find the values of the variables and the measures of the angles

Mathematics
2 answers:
yuradex [85]2 years ago
8 0

Answer:

x = 13

39° and 51°

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

This is a right angle triangle, so one side has a size of 90 degrees.

3x + 4x - 1 + 90 = 180

7x + 89 = 180

7x = 91

x = 91/7

x = 13

Put x as 13 to work out the size of the angles.

3(13) = 39

4(13) - 1

52 - 1 = 51

Tems11 [23]2 years ago
6 0

Answer:

x = 13 \\

Measure of the angles

39 \:  \: degrees \\ 51 \:  \: degrees

Step-by-step explanation:

<em>sum</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>interior</em><em> </em><em>angles</em><em> </em><em>in</em><em> </em><em>a</em><em> </em><em>triangle</em><em>=</em><em> </em><em>1</em><em>8</em><em>0</em><em>°</em>

<em>3x + 4x - 1 + 90 =1 80 \\ 7x + 89 =1 80 \\ 7x = 180 - 89 \\ 7x =9 1 \\  \frac{7x}{7}  =  \frac{91}{7}  \\ x = 13</em>

<em>x</em><em> </em><em>=</em><em> </em><em>1</em><em>3</em><em>,</em>

<em> </em><em>now</em><em> </em><em>lets</em><em> </em><em>work</em><em> </em><em>out</em><em> </em><em>for</em><em> </em><em>the</em><em> </em><em>angles</em>

<em>3x \\ 3 \times 13 \\  = 39</em>

<em>4x - 1 \\ 4 \times 13 - 1 \\ 52 - 1 \\  = 51</em>

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