312,995 views
10 votes
10 votes
Please can someone help me on this I’m trying to revise for my test and I don’t understand this question

Please can someone help me on this I’m trying to revise for my test and I don’t understand-example-1
User CuriousLearner
by
2.9k points

2 Answers

15 votes
15 votes

Answer:

first of all the line EAB is a triangle and all the angles in a triangle equate to 180° therefore;


angle \: ebc = 148 \\ angle \: edc = 63 \\ 148 + 63 = 180

next I subtract 148 from 63 which gives 85⁰ therefore eab is equals 85⁰

User CLR
by
3.1k points
21 votes
21 votes

Answer:

∠ EAB = 85°

Explanation:

∠ EBC and ∠ BCD are same- side interior angles and sum to 180° , so

∠ BCD = 180° - ∠ EBC = 180° - 148° = 32°

the sum of the 3 angles in Δ ADC = 180° , that is

∠ EDC + ∠ BCD + ∠ EAB = 180°

63° + 32° + ∠ EAB = 180°

95° + ∠ EAB = 180° ( subtract 95° from both sides )

∠ EAB = 85°

User Koloritnij
by
3.1k points