Answer:
ANGLE 1 = 145°
Explanation:
Angle 1 is right next to the EMPTY interior angle of the triangle and they are on a straight line!
This means, these two angles (angle 1 and the empty angle next to it) are supplementary angles!
Supplementary angles are angles on a straight line and they always add up to 180°
To find it, we need to find the degrees of the empty angle.
To find it, we need to look at the whole triangle.
Remember, all triangles equal 180°
Let's find this empty angle
180° - 109 - 36 = 35°
The empty angle = 35°
BUT WE ARE NOT DONE!
We are looking for angle 1, not the empty angle.
To find angle 1, we must remember that the empty angle (which we found was 35°) and angle 1 make a supplementary angle (which totals up to 180°)
Let's find angle 1, using subtraction.
180° - 35 = 145°
ANGLE 1 = 145°