Question

question 17
1 point(s)
if m∠edc = 145 degrees and m∠edw = 61 degrees.
find m∠wdc
diagram of point d with rays to e, w, c
a) 84 degrees
b) 90 degrees
c) 206 degrees

question 18
1 point(s)
if m∠ajk = 61 degrees and m∠ijk = 153 degrees.
find m∠ija
a) 90 degrees
b) 92 degrees
c) 214 degrees

Explanation:

Question 17

Step1: Identify angle relationship

From the diagram, $\angle EDC$ is composed of $\angle EDW$ and $\angle WDC$. So, $m\angle EDC = m\angle EDW + m\angle WDC$.

Step2: Solve for $m\angle WDC$

We know $m\angle EDC = 145^\circ$ and $m\angle EDW = 61^\circ$. Rearranging the formula: $m\angle WDC = m\angle EDC - m\angle EDW$.
Substitute the values: $m\angle WDC = 145^\circ - 61^\circ = 84^\circ$.

Step1: Identify angle relationship

From the angle composition, $\angle IJK$ is composed of $\angle IJA$ and $\angle AJK$. So, $m\angle IJK = m\angle IJA + m\angle AJK$. (Note: The angle notation in the question seems to have a typo, assuming it's $\angle IJA$ instead of $\angle IJA

Step2: Solve for $m\angle IJA$

We know $m\angle AJK = 61^\circ$ and $m\angle IJK = 153^\circ$. Rearranging: $m\angle IJA = m\angle IJK - m\angle AJK$.
Substitute the values: $m\angle IJA = 153^\circ - 61^\circ = 92^\circ$.

Answer:

A) 84 degrees

Question 18