Question

Direction:Use the figure at the right . Given: CE | | AB, find the measurement of the following angles:

1.m∠ACB=____
2.m∠CAB=____
3.m∠CDB=____
4.m∠EDB=____
5.m∠CDE=____

NEEDs KO PO ITO please :

Answer 1

Given :- CE || AB . ∠DBA = 54°

Solution :-

→ ∠CAB = 90° {CA is perpendicular to AB}

→ ∠ACB = ∠CAB { Angle on same side of transversal .}

so,

→ ∠ACB = 90°

now, in quadrilateral ABDC

→ ∠ACB + ∠CAB + ∠DBA + ∠CDB = 360° { Angle sum property.}

→ 90° + 90° + 54° + ∠CDB = 360°

→ ∠CDB = 360° - 234°

→ ∠CDB = 126°

now,

→ ∠DBA = ∠EDB { Alternate interior angles. }

→ ∠EDB = 54°

and,

→ ∠CDE = 180° { CE is a straight line. }

therefore,

• 1. ∠ACB = 90° .
• 2. ∠CAB = 90° .
• 3. ∠CDB = 126° .
• 4. ∠EDB = 54° .
• 5. ∠CDE = 180° .

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