Thursday

April 17, 2014

April 17, 2014

Posted by **yuri** on Saturday, August 24, 2013 at 2:09am.

- GEOMETRY (Angles) PLEASE -
**MathMate**, Saturday, August 24, 2013 at 6:57amYou'd have to set up equations.

First, let a=angle A, b=angle B and c=angle C, all in degrees.

(Note: in solving math problems, it is important to define all symbols/variables used, including the units).

We are given:

"angle b is 5 more than twice angle A" which translates to:

b=2a+5 .....(1)

"angle C is 35 less than three times angle A" which means:

c=3a-35 .....(2)

Finally, we know from basic geometry that the sum of angles of a triangle is 180°, so

a+b+c=180 .....(3)

Using the three equations, we can solve for a by substitution, i.e.

Substitute values of b and c from (1) and (2) into equation (3) and solve for the value of a.

**Related Questions**

geometry - In a triangle ABC, angle B is 3 times angle A and angle C is 8 ...

Geometry - Please answer at least one . PLEASE 1. Triangle XYZ has a right ...

GEOMETRY TRIANGLE - IN TRIANGLE ABC, A POINT D IS ON AC SO THAT AB=BD. ANGLE ...

geometry - 1. Triangle ABC has a 63.0-degree angle at B, and side AC is 13.6 cm ...

geometry - In a triangle ABC , the internal bisectors of angles B and C meet at ...

geometry - 8. iN triangle ABC, a point D is on AC so that AB=AD. ANGLE ABC - ...

simple GEOMETRY!! - In triangle ABC, ∠ABC=30∘,∠ACB=60∘. ...

geometry - find the remaining sides and angles for the triangle ABC, if b=48 m&...

Geometry - ABC is an acute triangle with \angle BCA = 35 ^\circ. Denote the ...

geometry - can one tell if two triangles are congruent if they are given only ...