Justinabenforthidn
Answered

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The two angles have a sum of 90 . Their difference is 20 . Find the angles.

Sagot :

Binibiningrinaidn

Answer:

Consider a △ABC, then according to the given condition we have:

∠A+∠B= 90° and ∠A−∠B= 20°

⇒2∠A=90°

⇒∠A=45°

⇒∠B=45°

Using the sum of all the angles of the triangle is 180°

We have: ∠A+∠B+∠C=180°

⇒45°+ 45° +∠C = 180°

⇒∠C=90

Hence ∠A=45°, ∠B=45°, and ∠C=90°

Step-by-step explanation:

∠A=45° + ∠B=45° + ∠C=90° = 180°