Answer:
63°, 117° and 63°.
Step-by-step explanation:
We know that there are two intersecting lines, when this happens there are formed 4 angles, two pairs of verticle angles, as it's shown in the image attached.
By definition, vertical angles are congruent. Which means the opposite angle of 117° is also equal to 117°.
Now, adjacent angles are supplementary angles in this case, because they are on a straight angle which is equal to 180°,
180° - 117° = 63°
So, by suplementary angles the other pair of verticle angles are equal to 63°.
Therefore, the other three angles missing are 63°, 117° and 63°.
