bethuel bethuel
  • 21-08-2018
  • Mathematics
contestada

in triangle ABC angle A - angle B =15 , angle B - angle C = 30, find angle B , angle A , angle C

Respuesta :

tramserran
tramserran tramserran
  • 23-08-2018

∠A - ∠B = 15 → ∠A = 15 + ∠B

∠B = ∠B

∠B - ∠C = 30 → ∠C = ∠B - 30

Since ABC is a triangle, then their sum equals 180°

∠A + ∠B + ∠C = 180

(15 + ∠B) + (∠B) + (∠B - 30) = 180

3∠B - 15 = 180

3∠B = 195

∠B = 65

∠A = 15 + ∠B → ∠A = 15 + 65 → ∠A = 80

∠C = ∠B - 30 → ∠C = 65 - 30 → ∠C = 35


Answer: ∠A = 80, ∠B = 65, ∠C = 35

Answer Link

Otras preguntas

A client is placed on neutropenic precautions. what would be appropriate for the nurse to do?
Some nontowered airports have a remote communications outlet (rco) enabling you to?
A ________ marketing strategy customizes both its product and communications program for each unique market.
i need help please thanks​
Critically engage in discussion on how inequality is perpetuated between nations. draw on examples to support your arguments within the context of africa.
What is 4/5/8 multiply 1/3/5
For a tax-paying firm, an increase in _____ will cause the cash flow from assets to increase.
Expatriate managers located in cultures characterized by ________ have noticed that local employees are highly motivated by retirement programs.
State whether the variable is discrete or continuous. the blood pressures of a group of students the day before their final exam
Essential nutrients are substances that the cells of your body cannot make themselves. if false, make it a correct statement. True or false