Question

the angles of a triangle 3x,5x+10and2x+10 the find the value of x and measure of each angles
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Answer 1

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$\large \purple {\underline{given - } \pink {angles = 3x.5x + 10 \: and \: 2x + 10}} \\ \\ \bf \green{ \boxed{sum \: of \: all \: angles \: of \triangle \: = 180}} \\ \\ \bf \blue{so \: 3x + 5x + 10 + 2x + 10 = 180} \\ \bf \blue{10x + 20 = 180} \\ \bf \blue{10x = 180 - 20} \\ \bf \blue{10x = 160} \\ \bf \blue{x = \frac{160}{10} } \\ \bf \blue{x = 16} \\ \\ \bf \orange{now \: measurement \: \: of \: angles \: } \\ \bf \blue{3x = 3 \times 16 = 48} \\ \bf \blue{5x + 10 = 5 \times 16 + 10 = 90} \\ \bf \blue{2x + 10 = 2 \times 16 + 10 = 42}$