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Ket [755]
10 months ago
12

I've done with my quiz, now I have to do the correction for extra point, bit my teacher required to explain how to solve it corr

ectly, but I don't know how. Please help me

Mathematics
1 answer:
lapo4ka [179]10 months ago
7 0

To solve this problem, we have to use the interior angles theorem which states that the sum of all three interior angles of a triangle must sum 180°.

Having said that, we express the following.

75+x+2x=180

Now, we solve for <em>x</em>.

\begin{gathered} 75+3x=180 \\ 3x=180-75 \\ 3x=105 \\ x=\frac{105}{3} \\ x=35 \end{gathered}

Then, we use this value to find the angle T.

m\angle T=2x=2(35)=70<h2>Therefore, the angle T is equal to 70°.</h2>
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