Question

a) (i) Write down the value of angle x.
71° z
X=
(ii) Give a reason for your answer.
b) (i) Write down the value of angle y.
y =
(ii) Give a reason for your answer.
y
х
65°
c) Work out the size of angle z.
o
Z=

Answer 1

Step-by-step explanation:

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Answer 2

The value of angle $x$ is $65^0$, of angle $y$ is $71^0$ and of angle $z$ is $44^0$.

What is angle ?

Angle is the space between two lines or surfaces that meet, and is  measured in degrees.

So,

According to the question;

$\angle x =65^0$

($\angle x$  is vertically opposite of the given angle  $65^0$)

$\angle y = 71^0$

(Because when a transversal line intersects two parallel lines then each pair of alternate interior angles is equal.)

We know that,

Sum of all angles of triangle is equals to $180^0$.

i.e.

$x+y+z=180^0$

we have,

$65+71+z=180$

$z=180-136$

$z=44^0$

So, the value of $z$ is $44^0$.

Hence, we can say that the value of angle $x$ is $65^0$, of angle $y$ is $71^0$ and of angle $z$ is $44^0$.

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