Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.
Sagot :
Answer:
[tex] \huge{ \boxed{ \bold{ \sf{ \pink{80°}}}}} [/tex]
Step-by-step explanation:
✰ [tex] \underline{ \sf{First, \: Let's \: learn \: about \: internal \: angles \: of \: a \: triangle}}[/tex]
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°.
❀ [tex] \sf{Now, \: Let's \: solve} : [/tex]
☄ [tex] \underline{ \underline{ \sf{Provided : }}}[/tex]
- ∠B = 3x°
- ∠ C = 4x°
- ∠ A = 2x°
☄ [tex] \underline{ \sf{To \: Find :}}[/tex]
- Measure of C
✏ [tex] \text{Set \: up \: an \: equation \: and \: solve \: for \: x.}[/tex]
[tex] \text{{∠a \: + \: ∠ \: b \: + \: ∠ \: c \: = \: 180 \degree}}[/tex]
→ [tex] \sf{2x + 3x + 4x = 180 \degree}[/tex]
→ [tex] \sf{9x = 180 \degree}[/tex]
→ [tex] \sf{ \frac{9x}{9} = \frac{180 \degree }{9} }[/tex]
→ [tex] \sf{x = 20 \degree}[/tex]
The value of x is 20°. As we are asked to find the measure of ∠C , substituting the value of x in 4x :
[tex] \text{∠c = 4x}[/tex]
→ [tex] \sf{∠ \: c \: = 4 \times 20 \degree}[/tex]
→ [tex] \boxed{ \bold{ \pink{ \sf{∠c \: = 80 \degree}}}}[/tex]
Hence , The measure of ∠ C is 80 °
Hope I helped ! ッ
Have a wonderful day / night ! ♡
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.