Search problems

6 problems match “interior angles”. Clear

Visitors search a sample. Sign in for free to search every problem. Sign in

1. Third side of a 30-60-90 triangle ●○○○○ 10 ptsA right triangle has two interior angles of $30^\circ$ and $90^\circ$, and two of its side lengths are $5$ and $5\sqrt{3}$. Find the third side length.
2. Interior angle of a regular pentagon ●○○○○ 10 ptsFind the measure, in degrees, of an interior angle of a regular pentagon.
3. Missing angles of a heptagon ●○○○○ 10 ptsFive angles of a heptagon have measures $80^\circ$, $85^\circ$, $175^\circ$, $90^\circ$ and $140^\circ$. The other two angles are congruent. Find the measure of each of the other two angles, in degrees.
4. Angle in a regular pentagon ●●○○○ 20 ptsIn a regular pentagon $PQRST$, find the measure of $\angle PRS$ in degrees.
5. Angle in pentagon with inner triangle ●●○○○ 20 ptsIn a regular pentagon $ABCDE$, an equilateral triangle $ABM$ is drawn so that $M$ lies inside the pentagon. Determine the size of the angle $BCM$ in degrees.
6. Angle in a pentagon with interior point ●●●●○ 100 ptsLet $P$ be a point inside regular pentagon $ABCDE$ such that $\angle PAB=48^{\circ}$ and $\angle PDC=42^{\circ}$. Find $\angle BPC$, in degrees.