Question

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

Answer 1

M<P 59° is your answer

Answer 2

The measure of ∠p is 59.14°

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=(CD)/(BD)=(4)/(7.8)=0.513`

`p=\cos^(-1)0.513=59.14^(\circ)`

The measure of ∠p is 59.14°