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Masteriza [31]
2 years ago
14

∠A and ∠C are right angles. m∠p = degrees.

Mathematics
2 answers:
almond37 [142]2 years ago
6 0
M<P 59° is your answer
Maru [420]2 years ago
5 0

Answer:

The measure of ∠p is 59.14°

Step-by-step explanation:

Given the figure in which ∠A and ∠C are right angles.

The length of AD=6 units , AB=5 units, CD=4 units

we have to find the measure of ∠p

In ΔBAD by Pythagoras theorem,

BD^2=AB^2+AD^

BD^2=5^2+6^2=25+36=61

BD=7.81024..\sim 7.8

Now, In Δ DCB

\cosp=\frac{CD}{BD}=\frac{4}{7.8}=0.513

p=\cos^{-1}0.513=59.14^{\circ}

The measure of ∠p is 59.14°

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