Find x and m< abc 4x+7 3x-15

To find the values of x and the measure of angle ABC in triangle ABC, we can use the fact that the sum of the angles in a triangle is always 180 degrees.

Given:

Angle A = (4x + 7)°

Angle B = (3x - 15)°

Angle CAB + Angle ABC = 180°

Using the given information, we can write an equation:

(4x + 7) + (3x - 15) + m∠ABC = 180

Now, let's simplify the equation:

7x - 8 + m∠ABC = 180

To isolate Angle ABC, subtract 7x - 8 from both sides:

Angle ABC = 180 - 7x + 8

Angle ABC = 188 - 7x

Now, we need to find the value of x. To do this, we can use the equation:

Angle CAB + Angle ABC = 180

Substitute the values we found:

(4x + 7) + (188 - 7x) = 180

Now, simplify the equation:

4x + 7 + 188 - 7x = 180

Combine like terms:

-3x + 195 = 180

Subtract 195 from both sides:

-3x = -15

Now, divide by -3 to find x:

x = 5

Now that we have found x, we can find Angle ABC:

Angle ABC = 188 - 7x

Angle ABC = 188 - 7(5)

Angle ABC = 188 - 35

Angle ABC = 153 degrees

So, x = 5 and m∠ABC = 153 degrees.

To learn more about the triangle;

https://brainly.com/question/2773823

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The complete question:

In a triangle ABC angle A =(4x+7)° angle B=(3x-15)°.

Find x and m∠ABC.