Answered

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(Total for Question is 4 marks)
Diagram NOT
accurately drawn
Q2.
ABC is a straight line.
AB = BD
Angle BAD = 25°
Angle BCD = 70°
Work out the size of the angle marked
X.
Give reasons for your answer.
70°
С
(Total for Question is 4 marks)

Total For Question Is 4 Marks Diagram NOT Accurately Drawn Q2 ABC Is A Straight Line AB BD Angle BAD 25 Angle BCD 70 Work Out The Size Of The Angle Marked X Giv class=

Sagot :

towl35

Answer:

I call this angle chasing or angle hunting. The answer is 60°.

Step-by-step explanation:

[tex]m \: bad = 25 \\ m \: bcd = 70 \: therefore \\ m \: adc \: = 180 - (70 + 25) = 85[/tex]

since ∆ BAD is an isosceles triangle m BDA = m BAD = 25°

[tex]m \: adc \: - m \: adb = 85 - 25 = 60 \\ x = 60 \: degrees[/tex]

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