The three angles of a triangle measure 2x – 6, 3x + 5, and 2x + 20. What is the measure of the smallest angle in degrees?

Step-Smallest angle = 40

by-step explanation:

Angle sum property:Sum of all three angles of triangle is 180

2x - 6 + 3x + 5 + 2x + 20 = 180   {Combine like terms}

2x + 3x + 2x - 6 + 5 + 20 = 180

                     7x  + 19       = 180            {Subtract 19 from both sides}

                                      7x = 180 - 19

                                      7x = 161               {Divide both sides by 7}

                                         x = 161/7

x = 23

2x - 6 = 2*23 - 6 = 46 - 6 = 40

3x + 5 = 3*23 + 5 = 69 + 5 = 74

2x + 20 = 2*23 + 20 = 46 + 20 = 66

in 4 days he will run   12/14

step-by-step explanation:

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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