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Angle Addition Crossword

Find the missing angles. To check the accuracy of your responses,

place your answers in the crossword grid,

Angle Addition Crossword Find the missing angles To check the accuracy of your responses place your answers in the crossword grid

Answer :

Answer:

Step-by-step explanation:

1). m∠AEC = m∠AEB + m∠BEC

= 21° + 37°

= 58°

2). m∠BED = m∠BEC + m∠CED

= 37° + 44°

= 81°

3). m∠IKF = m∠IKH + m∠HKG + m∠GKF

= m∠IKH + m∠HKG + m∠IKH [Since, ∠IKH ≅ ∠GKF]

= 2∠IKH + m∠HKG

103° = 2∠IKH + 41°

2(∠IKH) = 103 - 41

m(∠IKH) = 31°

4). m∠AED = m∠AEB + m∠BEC + m∠CED

= 21° + 37° + 44°

= 102°

5). m∠JKG = 108°

m∠JKG = m∠JKI + m∠IKH + m∠HKG

108° = m∠JKI + 31° + 41°

m∠JKI = 108° - 72°

m∠JKI = 36°

6). m∠HKF = m∠GKF + m∠HKG

= m∠IKH + m∠HKG [Since, m∠GKF = m∠IKH]

= 31° + 41°

= 72°

7). m∠NQO = m∠MQN = 64°

8). m∠JKF = m∠JKI + m∠IKF

= 36° + 103°

= 139°

8). m∠MQO = 2(m∠NQO)

= 2(64)°

= 128°

9). m∠LQO = 156°

m∠LQM = m∠LQO - m∠MQO

= 156° - 128°

= 28°

10. m∠NQP = m∠NQO + m∠OQP

= 64° + m∠LQM [Since ∠OQP ≅ ∠LQM]

= 64° + 28°

= 92°

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