In the triangle ABC, the ratio of angles is α:β = 4:5. The angle γ is 36°. How big are the angles α and β?

Correct answer:

α =  64 °
β =  80 °

Step-by-step explanation:

γ=36   α=4/5 β α+β+γ= 180  5 α=4 β α+β+36=180  5α4β=0 α+β=144  Row251 Row1Row2 5α4β=0 1.8β=144  β=1.8144=80 α=50+4β=50+4 80=64  α=64 β=80

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Math Lover
Can you help me with this (The drawing will be provided. HINT. Use the difference of squares formula a- = (a - b)(a + b). Let AABC be a right-angled triangle with the right angle in A and base BC 50 •6 meters. Let AD be the beight correspond- ing to BC. II AB 30 •6 meters and BD= 18•6 meters, find: AC , DC, AD)

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