Two angles of a triangle are equal and the third angle measures 70°. What is the measure of each of the unknown angles?
Answer & explanation
Correct answer: option 4
Let the measure of each unknown angle be \({a}^\circ\). We know that the sum of the angles of a triangle is \({180}^\circ\).
Therefore, a + a + 70 = \({180}^\circ\)
= 2a = (\({180}^\circ\) - \({70}^\circ\))
= 2a = \({110}^\circ\)
= a = \({55}^\circ\)
Therefore, a is \({55}^\circ\).