Question

I need to know then measurement of c

Answer 1

C is 666666688888 from my lookings. Jk

Answer 2

Answer:

$\huge{ \boxed{ \bold{ \sf{ \pink{80°}}}}}$

Step-by-step explanation:

✰ $\underline{ \sf{First, \: Let's \: learn \: about \: internal \: angles \: of \: a \: triangle}}$

The angles which are formed inside by the joining of arms of a triangle is called interior angles of a triangle. According to the figure provided , In ∆ ABC , ∠ABC , ∠ ACB , ∠ BAC are interior angles because they lie inside the ∆ ABC and sum of such interior angles is always 180°.

❀ $\sf{Now, \: Let's \: solve} :$

☄ $\underline{ \underline{ \sf{Provided : }}}$

• ∠B = 3x°
• ∠ C = 4x°
• ∠ A = 2x°

☄ $\underline{ \sf{To \: Find :}}$

• Measure of C

✏ $\text{Set \: up \: an \: equation \: and \: solve \: for \: x.}$

$\text{{∠a \: + \: ∠ \: b \: + \: ∠ \: c \: = \: 180 \degree}}$

→ $\sf{2x + 3x + 4x = 180 \degree}$

→ $\sf{9x = 180 \degree}$

→ $\sf{ \frac{9x}{9} = \frac{180 \degree }{9} }$

→ $\sf{x = 20 \degree}$

The value of x is 20°. As we are asked to find the measure of ∠C , substituting the value of x in 4x :

$\text{∠c = 4x}$

→ $\sf{∠ \: c \: = 4 \times 20 \degree}$

→ $\boxed{ \bold{ \pink{ \sf{∠c \: = 80 \degree}}}}$

Hence , The measure of ∠ C is 80 °

Hope I helped ! ッ

Have a wonderful day / night ! ♡

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