1 Answer

Karg · Answer 1 · 2021-06-02T23:30:16+0000

Complete Question

The complete question is shown on the first uploaded image

Answer:

The angle P is
P = 26^o

Explanation:

From the question we are told that

The angle BD is
BD = 154^o

Now looking at the diagram we can deduce that angle
$B \r CD = 180 ^o$

Now looking at line AD we see that it is tangent to the circle this implies that line CD is perpendicular to line AD

So we can also deduce that

$B \r C A + D \r C A = 180$

=>
$D \r C A = 180 - 154$

=>
$D \r C A = 26^o$

Now total angle in a triangle is 180 so

$C\r DA + D\r A C + A \r C D = 180^o$

Now
$D \r A C = 90^o$

So

$D \r AC = 180 - (90 + 26)$

=>
$P = D \r AC = 26^o$

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