Posted by **sadf** on Wednesday, November 10, 2010 at 5:16pm.

In the triangle ABC, angle ABC is x, angle BCA is x+40, and angle CAB is 2x. What is the measure of the largest angle (in degrees) ?

- Math -
**Henry**, Thursday, November 11, 2010 at 6:02pm
A = 2X, B = X, C = (X + 40).

A + B + C = 180 deg.

2x + x + (x + 40) = 180,

4x + 40 = 180,

4x = 180 - 40,

4x = 140,

x = B = 140 / 4 = 35 deg.

2X = A = 2*35 = 70 deg.

(x + 40) = C = 35 + 40 = 75 deg = Largest angle.

## Answer this Question

## Related Questions

- Geometry - ABC is an acute angle triangle with points D and E on BC and AC, ...
- Geometry - ABC is an acute angle triangle with points D and E on BC and AC, ...
- math - Find, correct to the nearest degree, the three angles of the triangle ...
- maths - ABC is an acute triangle with \angle BCA = 35 ^\circ. Denote the ...
- Geometry - ABC is an acute triangle with \angle BCA = 35 ^\circ. Denote the ...
- help math - In triangle ABC, points D,E,F are on sides BC,CA,AB respectively ...
- Geometry - Please answer at least one . PLEASE 1. Triangle XYZ has a right ...
- geometry - obtuse triangle ABC with obtuse angle B. Point D on side AC such that...
- Algebra - In triangle ABC, the measure of angle B is 8 degrees more than three ...
- Geometry - Given: in triangle ABC, angle B= 120 degrees Prove: angle A does not...