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Alex17521 [72]
3 years ago
12

You plant a garden in the shape of a triangle as shown in the figure. What is the perimeter of the garden? Find the values of x

and y.

Mathematics
1 answer:
Vadim26 [7]3 years ago
7 0

Answer:

x = 42°

y = 69°

Step-by-step explanation:

From the picture attached,

Given triangle is an isosceles triangle.

Therefore, two sides will be equal and measure 8 yd.

Measure of 3rd side of the triangle = 6 yd

Perimeter of the garden = 8 + 8 + 6

                                        = 22 yd

In an isosceles triangle, opposite angles of the equal sides will be equal.

Therefore, y = 69°

By the property of interior angles of a triangle,

x° + y° + 69° = 180°

x° + 69° + 69° = 180°

x = 180 - 138

x = 42°

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