Question

Find x(3x+72) triangle

Answer 1

Answer: x = -4 ; Angle = 60°

Concept:

The given figure is a triangle with 3 arc signs on each angle. This arc sign stands for the corresponding angles are congruent, which in this question, it shows that all three angles are congruent. Sometimes, if the figure has multiple angles and there are different groupings of congruent angles, then we use different numbers of arcs or symbols.

Solve:

Given information

An angle = 3x + 72

Total measure of angles = 180 (triangle angle sum theorem)

Total number of congruent angles = 3

Given expression

Total measure = Total number of congruent angles × An angle measure

Substitute values into the expression

180 = 3 (3x + 72)

Divide 3 on both sides

180 / 3 = 3 (3x + 72) / 3

60 = 3x + 72

Subtract 72 on both sides

60 - 72 = 3x + 72 - 72

-12 = 3x

Divide 3 on both sides

-12 / 3 = 3x / 3

$\boxed{x=-4}$

Find the angle measure

3x + 72 = 3 (-4) + 72 = $\boxed{60}$

Hope this helps!! :)

Please let me know if you have any questions

Answer 2

Answer is x = - 4 angle =60