Question

If CD ⊥ EF, m∠ECH = (x + 5)° and m∠HCD = (3x – 7)°, find each missing value.

Answer 1

`\displaystyle 62° = m\angle{HCD} \\ 28° = m\angle{ECH}`

Explanation:

Set both angle measures equivalent to ninety degrees:

`\displaystyle 90° = (3x - 7)° + (x + 5)° \hookrightarrow 90 = -2 + 4x \hookrightarrow (92)/(4) = (4x)/(4) \\ \\ 23 = x`

Plug this result back into both angle-measured expressions to arrive at your actual measurements.

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