Question

x 0 y0 and z •are three angles lying on a straight line having

vertices at same point. If y0 =45° and z "=86°. Find the value of x.

Answer 1

Step-by-step explanation:

) The value of x is 49 degrees.

b) The value of y is 30 degrees.

Step-by-step explanation:

We are given the following in the question:

x, y and z are three angles lying on a straight line.

Thus, the sum of measure of the three angle is 180 degrees.

a) y = 45 and z = 86

\begin{gathered}x + y + z = 180\\x + 45 + 86 = 180\\x = 180 - (45 + 86)\\x = 49^\circ\end{gathered}

x+y+z=180

x+45+86=180

x=180−(45+86)

x=49

∘

b) x = 2y and z = 3y

\begin{gathered}x + y + z = 180\\2y + y + 3y = 180\\6y = 180\\y = 30^\circ\end{gathered}

x+y+z=180

2y+y+3y=180

6y=180

y=30

∘

#LearnMore:

A right angle is a half of straight line