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In the triangle below, suppose that m LQ=(x+5)°, mZR=(6x - 5)°, and m_S= (2x)º.Find the degree measure of each angle in the triangle.

Sagot :

Recall that the sum of all the angles in a triangle is = 180 degrees

Thus we have that

[tex]\begin{gathered} 2x+6x-5+x+5=180^0 \\ 9x=180^0 \\ x\text{ = }\frac{180^0}{9} \\ x=20^0 \end{gathered}[/tex]

Hence,

[tex]\begin{gathered} Q\text{ = x + 5 } \\ =\text{ 20 + 5} \\ =25^0 \\ S\text{ = 2x } \\ =2(20^0) \\ =40^0 \\ R\text{ = 6x - 5 } \\ =6(20^0)\text{ - 5} \\ =\text{ 120 - 5} \\ =115^0 \end{gathered}[/tex]

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