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Question 5
Find MZA
(5x - 1)
(4x + 17)°
B
A
(3y - 20°
(2y + 1°
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Question 5 Find MZA 5x 1 4x 17 B A 3y 20 2y 1 Need Help With This Question class=

Sagot :

Answer:

m∠A is 89°

Step-by-step explanation:

By circle theorem, two or more inscribed angles subtended by the same arc are equal

Therefore, from the diagram, we have;

Angle (5·x - 1)° and angle (4·x + 17)° subtends the same arc DC

∴ (5·x - 1)° = (4·x + 17)°

We can write the angles as follows since they are both in degrees

(5·x)° - 1° = (4·x)° + 17°

(5·x - 4·x)° = 17° + 1°

x = 18°

m∠A = (5·x - 1)°

∴ m∠A = (5 × 18 - 1)° = (90 - 1)° = 89°

m∠A = 89°.

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