pls find the value of x
will mark u as brilliant
pls step by step explanation
pls step by step explanation
will sure mark u as brilliant
this is my home work
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Answer:
In ∆ ABC
- angle A = 3x
- angle B = 2x
- angle C = x
- measure of x = ?
By angle sum property
sum of all angles of triangle = 180°
➡️ 3x + 2x + x = 180°
➡️ 6x = 180°
➡️ x = 180/6
➡️ x = 30
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Given:
A triangle with
- 1st angle = x
- 2nd angle = 2x
- 3rd angle = 3x
To Find:
The 1st angle that is x of the triangle.
How To Find:
To find the angles of the triangle we will use the property that is and substitute the value and solve.
Solution:
Using the property,
⇒ Sum of interior angles of triangle = 180°
Substitute the values,
⇒ x + 2x + 3x = 180°
Add the terms in LHS,
⇒ 6x = 180°
Take 6 to RHS,
⇒ x =
Divide 180 by 6,
⇒ x = 30°
Now substitute the value.
- 1st angle = x = 30°
- 2nd angle = 2x = 2(30) = 60°
- 3rd angle = 3x = 3(30) = 90°
∴ Therefore the value of x is 30°.
Property Used:
- Sum of interior angles of triangle = 180°
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