Question

directions: find the measurement of each missing angle in the triangles below. remember, the triangle sum theorem states that the interior angles of a triangle always add up to 180°. then classify the triangle.
1)

x =

2)

x =

Explanation:

Problem 1:

Step1: Recall Triangle Sum Theorem

The sum of interior angles of a triangle is \(180^\circ\). Let the angles be \(60^\circ\), \(40^\circ\), and \(x\). So, \(60 + 40+ x=180\).

Step2: Solve for \(x\)

Simplify the left - hand side: \(100 + x = 180\). Subtract \(100\) from both sides: \(x=180 - 100=80^\circ\).

Step1: Recall Triangle Sum Theorem

The sum of interior angles of a triangle is \(180^\circ\). Let the angles be \(35^\circ\), \(50^\circ\), and \(x\). So, \(35 + 50+x = 180\).

Step2: Solve for \(x\)

Simplify the left - hand side: \(85+x = 180\). Subtract \(85\) from both sides: \(x = 180-85 = 95^\circ\).

Answer:

\(80^\circ\)

Problem 2: