softballlover090404 softballlover090404
  • 03-11-2020
  • Mathematics
contestada

In △ACD, if AC ≅ AD, m∠A = (3x – 4)°, m∠C = (5x + 1)°, and m∠D = (7x – 27)°, find x and the measure of each angle. *

Respuesta :

Adetunmbiadekunle Adetunmbiadekunle
  • 09-11-2020

Answer:

x = 14

A = 38

B = 71

C = 71

Step-by-step explanation:

Since we have a triangle, the addition of the measure of all the measure of the angles give 180

Thus;

3x-4 + 5x + 1 + 7x-27 = 180

15x-30 = 180

15x = 180 + 30

15x = 210

x = 210/15

x = 14

To get the measure of each of the angles, we substitute for x

A = 3x-4 = 3(14) - 4 = 38

B = 5x + 1 = 5(14) + 1 = 70 + 1 = 71

C = 7x - 27 = 7(14) - 27 = 98-27 = 71

Answer Link

Otras preguntas

Suppose there are 8 blue, 4 green, 11 yellow, and 7 red buttons in a bag. If you randomly pick out one button, what is the probability it is red or green?
Who is the head of executive branch of our government?
hi there can anyone help me out with this question please
What was the clash between Arthur Phillip and benne long
Ets is a department of health and human services program to promote health nationwide. true or false
Shen earns $9.60 per hour at his part-time job.last month,he worked 7.25 hours the first week, 8.75 hours the second week, 5.5 hours the third week, and 6.75 ho
The ancient geographic setting of a region is known as its
between the 1400s and 1800s, europe was primarily interested in africa as a source of: a : ivory b : slaves c : rubber
Work out 4/7 of 5 Help me please
can someone help me with this????????????