Answer:
see explanation
Step-by-step explanation:
Complementary angles sum to 90°
Supplementary angles sum to 180°
2
The complement of ∠TOK = 90° - 49° = 41°
The supplement of ∠TOK = 180° - 49° = 139°
3
∠YES has no complement
The supplement of ∠YES = 180° - 113° = 67°
4
∠Z = 2∠T + 21 and they are supplementary, thus
∠T + 2∠T + 21 = 180
3∠T + 21 = 180 ( subtract 21 from both sides )
3∠T = 159 ( divide both sides by 3 )
∠T = 53°
