# geometry

posted by .

DEF and ABC are complementary angles and ABC is nine times as large as DEF. Determine the measure of each angle.

• geometry -

DEF + ABC = 90
DEF + 9DEF = 90
10DEF = 90
DEF = 9
ABC = 81

• geometry -

The shorter leg of a 30°-60°-90° triangle is 6. What is the length of the other leg?

## Similar Questions

1. ### geometry

<DEF and <ABC are supplementary angles and <DEF is seven times as large as <ABC. Determine the measures of each angle. Students must show all work step by step to receive full credit.
2. ### geomerty

The following triangles, Ä ABC and Ä DEF, are congruent. abc 67.38degree 12cm lenght 22.62degree b5cm,l,13cm Find the lengths of all missing sides and measures of all angles for both triangles. Include correct units with each of …
3. ### math

angle ABC and DEF are supplementary angles. the measure of DEF is 20 degrees less than 3 times the amount of ABC. what are ABC and DEF.
4. ### Trigonometry/Geometry

In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, …
5. ### Trigonometry/Geometry - Law of sines and cosines

In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, …
6. ### Precalculus

In most geometry courses, we learn that there's no such thing as "SSA Congruence". That is, if we have triangles ABC and DEF such that AB = DE, BC = EF, and angle A = angle D, then we cannot deduce that ABC and DEF are congruent. However, …
7. ### GEOMETRY

If ABC ~ DEF and the scale factor from ABC to DEF is 1/6, what are the lengths of DE,EF , and DF, respectively?
8. ### Geometry.

Triangles ABC and DEF are similar. If ∠ABC = 121°and ∠BCA = 35°, find the measure of angle FDE.
9. ### Geometry

For 2 similar triangles ABC and DEF, the scale factor of ABC to DEF is 2:3. If AB=2(BC) and DE=3(BC), what is EF?
10. ### geometry

Let the incircle of triangle $ABC$ be tangent to sides $\overline{BC}$, $\overline{AC}$, and $\overline{AB}$ at $D$, $E$, and $F$, respectively. Prove that triangle $DEF$ is acute. I have tried proving that triangle DEF's angles were …

More Similar Questions