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Answer:
DE || BC
ADE = B ( crossponding angles )
ADE = 55⁰
in triangle ADE using angle sum property
65⁰+55⁰+AED = 180⁰
120⁰+AED = 180⁰
AED = 180⁰-120⁰
AED = 60⁰
DE || BC
AED = C (corresponding angles)
C = 60⁰
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Answer:
i) 55°
ii) 60°
iii) 60°
Step-by-step explanation:
i) Angle ADE = Angle DBC
Reason - Corresponding angles are equal.
55 ° = 55° (Given)
Angle ADE = 55°
ii) Angle AED + Angle DAE + Angle ADE = 180°
Reason - Angle sum property. Sum of all angles in a triangle is 180°.
Angle AED +. 65°. +. 55° = 180°
Angle AED + 120° =180°
Angle AED = 180-120
Angle AED = 60°
iii) Angle C = Angle AED
Reason - Corresponding angles are equal.
60° = 60° (Given)
Angle ADE = 60°
Hope this helps.