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This doesn't ask any question but I assume you want to know the measures of angles ABC.

Well if C is 15 degrees LESS than half of angle A then the algebraic equation would look something like this:

Let x = measure of angle B then 4x = measure of angle A, since angle A is four times angle B

then 2x (half the measure of angle A = 4/2) - 15 = measure of C.

Basic Knowledge:

angle A+ angle B+ angle C=180°

180 degrees = total measure of angles in a triangle

4x° + x° + (2x - 15)° = 180°

SOLVE for X!

STEP 1: always combine (add/subtract) like terms

7x°-15+15=180°+15(isolate the variable by adding 15 on both sides of the equation)

_________

7x°/7+0 = 195°/7 (solve for x by dividing 7 on both sides of the equation)

_________

x ≃ 27.86° or = (27 6/7)° = measure of angle B

4x ≃ 111.44° = measure of angle A

2x-15 ≃ 55.72°-15 ≃ 40.72° = measure of angle C

**add them all up together, they would add up to 180.02° because x actually equals 27.857142857142857142.....

Now if C is 15 degrees MORE than half of angle A then the algebraic equation would look something like this:

again; Let x° = measure of angle B

then 4x° = measure of angle A, since angle A is four times angle B

then 2x (half the measure of angle A = 4/2) +15 = measure of C.

4x° + x° + (2x + 15)° = 180°

SOLVE for X! (same steps, just watch for the signs)

7x°+15-15=180° -15 (subtracted 15 on both sides)

_________

7x°/7 +0 = 165°/7 (divided 7 on both sides)

_________

x ≃ 23.57° or = (23 4/7)° = measure of angle B

4x ≃ 94.28° = measure of angle A

2x+15 ≃ 47.14° +15 ≃ 62.14° = measure of angle C

**add them all up together, they would add up to 179.99° because x actually equals 23.571428571428571428.....

See the pattern?? and the difference??

Q: In triangle ABC the measure of angle A is four times that of angle B In addition the measure of angle C is 15 degrees than half the measure of angle A?

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It is a right angle triangle and the 3rd angle will measure 30 degrees

If you mean an equilateral triangle then the 3rd angle is 60 degrees

60 degrees

Also 45

180-39-77 = 64 degrees

Related questions

It is a right angle triangle and the 3rd angle will measure 30 degrees

In a triangle the measure of the first angle is four times the measure of the second angle. The measure of the third angle is 18 degrees more than the second angle. What is the measure of the first angle? 68 43 17 95

50 degrees if its a triangle

If you mean an equilateral triangle then the 3rd angle is 60 degrees

An obtuse triangle

A right angle triangle.

60 degrees

If that is the angles of a triangle then the 3rd angle is 110 degrees

45 degrees.

180-39-77 = 64 degrees

180 degrees.

Also 45