Question

24. Three angles of a triangle are in the ratio 2:3:7. Workout the measurements of the angles.
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Answer 1

Answer: 30, 45, 105

Step-by-step explanation: 2x + 3x + 7x = 180

                                                              12x = 180

                                                                x = 180/12

                                                                x = 15

                                              2 x 15 = 30

                                               3 x 15 = 45

                                                7 x 15 = 105

Hope it helps!!!

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Answer 2

Step-by-step explanation:

$Sum \: \: of \: \: Angles \: \: in \: \: the \: \: Triangle \: \: is \: \: 180° \\ Angles \: \: are \: \: in \: \: the \: \: ratio \: \: of \: \: 2 : 3 : 7 \\ \\ 2x + 3x + 7x = 180° \\ 12x = 180° \\ x = \frac{180°}{12} \\ x = \underline{ \underline{ 15}} \\ \\ Angles \: \: of \: \: the \: \: Triangle \: \: are : \\ 2 : 3 : 7 \\ 2x : 3x : 7x \\ 2(15) : 3(15) : 7(15) \\ \underline{ \underline{ \large \bf 30° : 45° : 105°}} \\ \\ Sum \: \: of \: \: Angles \\ 30° : 45° : 105° \\ = \underline{ \underline{180° }}$