For the figure shown on the right, find the value of the variable and the measures of the angles.

Step-by-step explanation:

x-7+3x+12+x = 180

5x+5=180

5x=175

x = 35°

m L P = x-7 = 35-7 = 28°

m L Q = 3x+12 = 3(35)+12 = 105+12 = 117°

m L R = x = 35°

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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