Find the angle measure x in the given figure of pentagon .
Answers
Answer:
5angles
Step-by-step explanation:
pentagon is of 5sidees every border aides is 1 angle
Answer:
Here, we need to find the value of x
in the given figures. We will use the angle sum property of a quadrilateral to find the value of x
in first figures. Then we will use the properties of linear pair angles to find the angle in the third figure. We will then use the angle sum property of a pentagon to find the value of x
in the fourth figure.
Step-by-step explanation:
(a)The sum of all the interior angles of a quadrilateral is equal to 360∘ .
Therefore, we get
50∘+130∘+120∘+x=360∘
This is a linear equation in terms of x
. We will solve this equation to find the value of x
.
Adding the terms of the equation, we get
⇒300∘+x=360∘
Subtracting 300∘
from both sides of the equation, we get
⇒300∘+x−300∘=360∘−300∘
Thus, we get
⇒x=60∘
Therefore, we get the value of x
as 60∘
.
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