Question

Please answer my question...

Answer 1

Answer:

7 + 4x + x + 23 = 90

5x + 30 = 90

5x = 90-30

x = 60/5 = 12

Step-by-step explanation:

two angles are 55and 35

so option A is correct.

Answer 2

$\large\underline{\rm{Two \ angles \ are \ called \ complementary}}$

$\large\underline{\rm{if \ their \ measures \ add \ to \ 90 \ degrees.}}$

⇒ $\sf{∠A + ∠B = 90°}$

⇒ $\sf{7° + 4x + x + 23° = 90°}$

⇒ $\sf{30° + 5x = 90°}$

⇒ $\sf{5x = 90 - 30}$

⇒ $\sf{x = \dfrac{60}{5}}$

⇒ $\sf{x = 12°}$

$\sf{∠A = 7° + 4x = 7° + 4(12) = 7° + 48° = 55°}$

$\sf{∠B = x + 23° = 12° + 23° = 35°}$

$\red{\boxed{\rm{So \ option \ A \ is \ correct ✔}}}$

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