In Triangle ABC, the measure of angle B is 36 degrees more than three times the measure of angle A. The measure of angle C is 54 degrees more than the measure of angle A. Find the measure of each angle.

angle A = 18°

angle B = 36 + 3(18) = 90°

angle C = 54 + 18 = 72°

Step-by-step explanation:

A triangle is a shape with 3 sides. The total angle of a triangle is 180°. This means the sum of all the angle is 180°.

Let

angle A = a

angle B = 36 + 3a

angle C = 54 + a

The sum of angle A, B and C should be equals to 180°. Therefore,

a + 36 + 3a + 54 + a = 180°

collect like terms

5a + 90 = 180

5a = 180 - 90

5a = 90

divide both sides by 5

a = 90/5

a = 18°

angle A = 18°

angle B = 36 + 3(18) = 90°

angle C = 54 + 18 = 72°

9) i can't see the angle so whatever it is just do this: cos(angle) x hypotenuse and then use that answer and they hypotenuse and plug it into this: (answer you just got)^2 + b^2 = (hypotenuse)^2. the first answer will be the answer of the adjacent side and the second answer after this equation will be the opposite side.

10) y = 14 x = √147 or 12.12435565

11) x = 4.8

12) x = 4.2

13) x = 9.3

14) pq: 13.2

qr : 17.6

angle p: 53º

15) angle c: 54.3º

angle a: 35.7º

16) h = 21040

v = 1841

step-by-step explanation:

10) 7/sin(30) = 14 = y

7^2 + b^2 = 14^2

49 + b^2 = 196

b^2 = 196 - 49

√b^2 = √147

x = √147

11) cos(70) x 14 = 4.788282007

x = 4.8

12) tan(25) x 9 = 4.196768923

x = 4.2

13) sin(31) x 18 = 9.270685348

x = 9.3

14) pq: sin(37) x 22 = 13.23993051

pq: 13.2

qr: cos(37) x 22 = 17.56998122

qr : 17.6

angle p: 180 - (37 + 90) = 53º

15) cos-1(7/12) = 54.31466529

angle c: 54.3º

angle a: 180 - (90 + 54.31466529) = 35.68533471

angle a: 35.7º

16) 4 x 5280 = 21120

cos(5) x 21120

h = 21039.63202

h = 21040

sin(5) x 21120

v = 1840.729287

v = 1841

x + 4/7

step-by-step explanation:

use cymath