Question

find the values of x, y and z in each of the figures given below ​

Answer 1

Answer:

Explanation:

ANSWER:-

Linear Pairs:-

The pairs whose sum equals 180 degree are known as linear pair.

Here, we can see that x-10 and x+40 are Linear pair.

$x-10+x+40 = 180$

$2x+30 = 180$

$2x = 150 ^\circ$

$\longrightarrow\boxed{x = 75 ^ \circ}$

Now,

• x+40 = 115 degree
• x-10 = 65 degree.

Now, again , (x-10) and z are Linear Pair,

$65+z = 180$

$\longrightarrow\boxed{z = 115 ^ \circ}$

Now, we can see that (x+40) and y are linear pair.

$115+y = 180$

$\longrightarrow \boxed{y = 65 ^ \circ}$

Things to Note:-

• Complementary angles are those angle whose sum equals 90 degree.
• Supplementary angles are those whose angles equal 180 degree.
• All the angles of a triangle are supplementary.
• Also, three angles of an equilateral triangle is 60 degree.
• Angle sum property is used to find all the angles, which tells us that all angles sum equal 180 degree for any triangle.

Answer 2

Answer:
X=65
Y=55
Z=105
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