Question

find the measure of the following angles if they are complementary to each other m<p=[2x+7]and m>q=[4x-19]​

Answer 1

Answer:

Answer:

∠ P = 41°

∠Q = 49°

Step-by-step explanation:

\boxed{\bold{\large{\Re equired \: \: Answer }}}

ℜequiredAnswer

\begin{gathered}\\\end{gathered}

∠P = (2x + 7)°

∠Q = (4x - 19)°

\begin{gathered}\\\end{gathered}

✈️ Sum of complementary angles is 90°.

\begin{gathered}\\\end{gathered}

∠P + ∠Q = 90°

⇒ (2x + 7)° + (4x - 19)° = 90°

⇒ 2x + 7° + 4x - 19° = 90

⇒ 6x - 12° = 90°

⇒ 6x = 90° + 12°

⇒ 6x = 102°

⇒ x = 102°/6

⇒ x = 17°

\begin{gathered}\\\end{gathered}

∠P = (2x + 7)°

∠P = (2 × 17 + 7)°

∠P = (34 + 7)°

∠ P = 41°

\begin{gathered}\\\end{gathered}

∠Q = (4x - 19)°

∠ Q = (4 × 17 - 19)°

∠Q = (68 - 19)°

∠Q = 49°

\begin{gathered}\\\end{gathered}

∠ P = 41°

∠Q = 49°