Question 1 First, look at the left triangle alone. Two of its angles are 46° and 58° . (46° + 58° ) = 104° That leaves (180° - 104° ) = 76° degrees for the third angle. The third angle in that triangle is 'x'. x = 76° .
At the point where 'x' and 'z' come together: 'x' and 'z' are a "linear pair". Placed side-by-side, they form a straight line. So (x + z) = 180° . But x = 76°. So z = (180° - 76°). z = 104° .
Now look at the the skinny triangle on the right alone. The angle at the top is 13°, and z = 104°. (13° + 104°) = 117° . That leaves (180° - 117°) = 63° for the third angle. 'y' is the third angle. y = 63° .
