Question

find the value of an angle x​

Answer 1

Answer:

In a triangle

4x° + 54° + 42° = 180° ( angle sum property )

4x° = 96°

4x° = 180° - 96°

4x° = 84°

x = 84 ÷ 4

x = 21°

Step-by-step explanation:

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Answer 2

Answer :-

The Angle Sum Property of a triangle states that the sum of all interior angles of a triangles equals to 180°.

1st Angle = 54°

2nd Angle = 42°

3rd Angle = 4x°

Sum of angles = 180°

$54+42+4x=180$ (Angle Sum Property)

$=>96+4x=180$

$=>4x=180-96$

$=>4x=84$

$=>x=84\div4$

$=>x=21$

Verification :-

$LHS=42+54+4x$

$=96+4$ × $21$

$=96+84$

$=180$

$RHS=180$

$LHS=RHS$ $hence,$ $verified.$

Thus,

The value of the unknown angle $(4x)$ is 84° and the value of $x$ is 21°.

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