Question

what are the values of a and b? 119° a b a = □° b = □°

Explanation:

Step1: Find the value of a

Use linear - pair property.
$a+119^{\circ}=180^{\circ}$, so $a = 180^{\circ}-119^{\circ}=61^{\circ}$

Step2: Find the value of b

The triangle is isosceles (equal - side marks). Let the other base - angle be equal to a.
Sum of angles in a triangle is $180^{\circ}$. So $b=180^{\circ}-2a$. Substitute $a = 61^{\circ}$, then $b=180^{\circ}-2\times61^{\circ}=180^{\circ}-122^{\circ}=58^{\circ}$

Answer:

$a = 61^{\circ}$, $b = 58^{\circ}$