Triangles

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   A good definition can be written as a true biconditional, which means both directions hold. A student proposes: $\angle P$ is a right angle if and only if $m\angle P = (3x + 39)^\circ$. Find the value of $x$ that makes this biconditional true.

2. Warm-up

   A good definition can be written as a true biconditional, which means both directions hold. A student proposes: $\angle P$ is a right angle if and only if $m\angle P = (8x + 26)^\circ$. Find the value of $x$ that makes this biconditional true.

3. Warm-up

   A good definition can be written as a true biconditional, which means both directions hold. A student proposes: $\angle P$ is a right angle if and only if $m\angle P = (8x + 50)^\circ$. Find the value of $x$ that makes this biconditional true.

Problems shown under their original terms: Generated (template, solver-computed).