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Can anyone please help me to do this with steps

Can anyone please help me to do this with steps-example-1
User Pieterbons
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1 Answer

3 votes

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Answer:

x = 45°

Explanation:

We presume you want the measure of angle x.

Long arc BAD is intercepted by inscribed angle BCD and by inscribed angle BDE. Hence angle BDE has the same measure as angle BCD.

x + 70° = 115°

x = 45° . . . . . . subtract 70°

_____

It doesn't matter where point C is on short arc BD—the measure of angle C is the same regardless. This is still true even if point C moves to be on top of point D, so that angle BCD and angle BDE are indistinguishable.

User Reuelab
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