The sum of the interior angles of a polygon with $n$ sides is $180(n-2)$ . Since the shape in the figure has 5 sides, the sum of its interior angles is $180(5-2)=180\cdot 2=540^{\circ}$ .

Therefore, we can set up the following equation:

$95+125+105+116+x=540,\\441+x=540,\\x=\boxed{99^{\circ}}$

Since $\angle x$ and $\angle y$ make up one side of a line, they are supplementary, as each side of a line is $180^{\circ}$ .

Thus, we have:

$x+y=180,\\99+y=180,\\y=\boxed{81^{\circ}}$

4 0

3 years ago

Can you help me find a?<br> 0.64 = a^2

erma4kov [3.2K]

You square root both sides. And it would be a=0.8

7 0

4 years ago

Peter is x years old and his sister is 5 years older. If the product of their ages is 84, form an equation in x and solve it to

daser333 [38]

Answer:

x^2 + 5x - 84 = 0

x = 7

Step-by-step explanation:

let the sister's age = y

sister's age (y) = 5 + x equation 1

xy = 84 equation 2

Make y the subject of the formula in equation 2

y = 84/x

equate equation 1 and 2

84/x = 5 + x equation 3

Multiply equation 3 by x

84 = 5x + x^2

x^2 + 5x - 84 = 0

tjis can be solved using quadratic equation

x^2 -7x + 12x -84 = 0

x(x + 12) -7(x + 12)

x = 7 or - 12

age cant be negative so his age is 7

3 0

3 years ago

Each face of a pyramid is an isosceles triangle with a 74° vertex angle. What are the measures of the base angles?

zaharov [31]

53 degrees at each angle

8 0

3 years ago

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