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laraekeyes
27.07.2021 •
Mathematics
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Ответ:
If x ≠ 62° and we want to Refute Bob's claim that Δ1 and Δ2 cannot be similar, the value of x should be:
x = 104°
Step-by-step explanation:
Let's recall that the interior angles of a triangle add up to 180°, therefore:
Δ 1 = ∠62° + ∠14° + ∠180° - (62° + 14°)
Δ 1 = ∠62° + ∠14° + ∠104°
Then,
Δ 2 = ∠x° + ∠14° + ∠180° - (x° + 14°)
Δ 2 = ∠x° + ∠14° + ∠166° - x°
If x ≠ 62° and we want to Refute Bob's claim that Δ1 and Δ2 cannot be similar, the value of x should be:
x = 104°
Replacing with x = 104, in Δ 2 = ∠x° + ∠14° + ∠166° - x°:
Δ 2 = ∠104° + ∠14° + ∠166° - 104°
Δ 2 = ∠104° + ∠14° + ∠62°