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1 year ago

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

Mathematics

2 answers:

almond37 [142]1 year ago

6 0

M<P 59° is your answer

Maru [420]1 year 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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