Answer:
Step-by-step explanation:
Given
Solving (a): The value of x
Since CD is perpendicular to EF, then the following relationship exists
<em>Where ECD = 90° and DCF = 90°</em>
<em>Substitute values for ECH, HCD and ECD</em>
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Collect like terms
Divide both sides by 4
Solving (b): The value of ECH
Given that
Substitute 23 for x
Solving (c): The value of HCD
Given that
Substitute 23 for x
Solving (d): Solving GCF
GCF and ECH are opposites
Hence,
Solving (e): The value of ECG
Make ECG the subject of formula
Substitute 28 for ECH
Solving (f): The value of GCD
Recall that DCF = 90 and GCF = 28