Question

Two lines meet at a point that is also the vertex of a right angle. Set up and solve an equation to find the value of 𝑥. Find the measurements of ∠CAE and ∠BAG.

dfg

For Blank 1: What is the value of x?

For Blank 2: What is the value of ∠CAE?

For Blank 3: What is the value of ∠BAG ?

Answer 1

us this

Answer 2

so like a first step you see that angle Toast is a right angle ,yes ?
so what mean this ,angle Toast has how many degrees ?

and now you can write the angle Toast like the sum of what angles ?

Answer 3

and look please on this image ,so how are angles <DAB and <CAE ?

Answer 4

\[\angle FAB+\angle DAG=90^\circ\]
\[\angle FAB+3x=90^\circ\]
\[\angle DAF+\angle FAB=4x\]
\[15+\angle FAB=4x\]
\[\angle FAB=4x-15\]
4x-15+3x=90
7x=90+15
7x=105
x=105/7=15
\[\angle ~CAE=4*15=60^\circ\]
\[\angle~BAG=3x=3*15=45^\circ\]

Answer 5

^