Question

9/9 triangle angle sum theorem
your turn!

1. triangle with right angle and 40° angle

multiple-choice question
what is the measure of the missing angle in question 2?
(0:00)
options: 180, 50, 45

Explanation:

Step1: Identify triangle type (right triangle)

The triangle in question 2 is a right triangle, so one angle is \(90^\circ\), another is \(40^\circ\).

Step2: Apply Triangle Angle Sum Theorem

The sum of angles in a triangle is \(180^\circ\). Let the missing angle be \(x\). So, \(90^\circ + 40^\circ + x = 180^\circ\).

Step3: Solve for \(x\)

Simplify: \(130^\circ + x = 180^\circ\). Subtract \(130^\circ\) from both sides: \(x = 180^\circ - 130^\circ = 50^\circ\).

Answer:

50 (corresponding to the option with 50, e.g., if options are labeled, it would be the one with 50 as the value)