Question

find the value of m from the figure​

Answer 1

Answer:

• m = 20°

Steps:

According to the Angle Sum property of a triangle:

"The sum of all three interior angles of a triangle, is equal to 180°"

According to this question,

• First Angle = 56°
• Second Angle = 68°
• Third Angle = (3m-4)°

Calculating the Sum and equating it to 180° we get,

→ 56° + 68° + (3m-4)° = 180°

→ 124° + 3m° - 4° = 180°

→ 120° + 3m° = 180°

→ 3m° = 180° - 120°

→ 3m° = 60°

Hence the value of m is:

⇒ m = 60°/3 = 20°

Answer 2

Question :

Find the value of m from the given attachment / figure.

Answer :

$\sf Angle's \; name \; and \: values \begin{cases} & \sf{1st \: angle \: is \: 56} \\ & \sf{2nd \: angle \: is \: 68} \\ & \sf{3rd \: angle \: is \: 3m-4} \end{cases}$

$\sf Given \: angles \begin{cases} & \sf{1st \: angle \: is \: 56} \\ & \sf{2nd \: angle \: is \: 68} \\ & \sf{3rd \: angle \: is \: 3m-4} \end{cases}$

$\sf Find \begin{cases} & \sf{Measure \: of \: m \: in \: given \: angle} \end{cases}$

$\sf Solution \begin{cases} & \sf{Value \: of \: m = \bf{20 \: degree}} \end{cases}$

$\sf Using \; concept \begin{cases} & \sf{Measure \: of \: interior \: angles \: of \: triangle} \end{cases}$

Knowledge required :

The sum of interior angles of triangle is always equal to 180°

What does the question says ?

• This question says that 3 angles are given as 56° , 68° and (3m-4)° respectively. We have to find the value of m.

Let's see the procedure :

• To solve this question we have to move move atq

1st angle = 56°

2nd angle = 68°

3rd angle = (3m-4)°

Now see as we already know that what is the sum of interior angles of triangle we have to put the values and then we have to put an equal to sign afterthat we have to put 180° at the right hand side of equal to. Afterwards we get our final result very easily that is 20° Let's see how to do this question properly.

Full solution :

Putting the values according to the question we get the following results.

➝ 56° + 68° + (3m-4)° = 180°

➝ 124° + (3m-4)° = 180°

➝ 124° + 3m° - 4° = 180°

➝ 124° - 4° + 3m° = 180°

➝ 120° + 3m° = 180°

➝ 3m° = 180° - 120°

➝ 3m° = 60°

➝ m = 60° / 3°

➝ m = 20°

➝ Hence, the value of m is 20°

More knowledge -

What is triangle ?

A plane figure with three straight sides and three angles is known as triangle.

Some formulas related to triangle ?

• Perimeter of triangle = Sum of side lengths of the triangle
• Area of triangle = Area: ½ × base × height.

They also write as :

• Perimeter as P.
• Area as A.
• Triangle as ∆
• Base as B.
• Height as H.
• ½ means half.
• Length as L
• Angle as <

Diagram related to this question - See the above attachment to understand the concept properly.