Answer:
1) 61
2) 124
3) 27
4) 29
Explanation:
Angle 1)
This one is quite simple
add 63 and 56 together
![63 + 56 = 119](https://img.qammunity.org/2022/formulas/mathematics/college/q30ybrvbup0o30xiycnjktgges5oj1d5o7.png)
now minus 119 from 180 because the all the interior angels of a triangle must equal 180 degrees
![180 - 119 = 61](https://img.qammunity.org/2022/formulas/mathematics/college/8fmsa4q960rs6io8i0viud8pfne8y6g9fx.png)
angle 2)
minus 56 from 180 because the angles are on a straight line. angles on a straight line must equal 180 degrees
![180 - 56 = 124](https://img.qammunity.org/2022/formulas/mathematics/college/3mikhmj5nntygabcsodo190tsnwynwu1rc.png)
angle 3)
since the angel is 90 degrees and on side is 63 degrees just minus 63 from 90
![90 - 63 = 27](https://img.qammunity.org/2022/formulas/mathematics/college/95dvubfwlyzavsfojjw6oe6jc9pfljb899.png)
angle 4)
add sum of angle 3 and 2 then minus the total from 180 to find angle 4
![124 + 27 = 151](https://img.qammunity.org/2022/formulas/mathematics/college/y1bquan7xd0uj7s7i4gg5py5zd8o4p6fcw.png)
![180 - 151 = 29](https://img.qammunity.org/2022/formulas/mathematics/college/u3uamuv4t4hzlxqs0ufpwfqsdy2hr0ueau.png)