Answer:
hese angles are supplementary, and x=19 degrees
These two angles are a linear pair, meaning that they are supplementary.
This means that their angles measures must add up to 180 degrees.
65+6x+1=180
6x=114
x=19
Hope this helps!
Step-by-step explanation:
The square root of 125 is in between 11 and 12. It is 11.1803.
<u>Answer:</u>
The correct answer for this is: rhombus.
<u>Step-by-step explanation:</u>
The name of a polygon that has four congruent sides with the angles measuring 60°, 120°, 60° and 120° is rhombus.
According to the properties of a rhombus, the opposite angles are equal and opposite sides are parallel.
However, the adjacent angles of rhombus are supplementary which means that they add up to 180°.
For example:
60° + 120° = 180°
Answer:
By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that 
Step-by-step explanation:
Given that ∠ABC=∠ADC, AD=p and DC=q.
Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles
and given ∠ABC=∠ADB=90°
Hence using AA postulate, ΔABC ≈ ΔADB.
Now we will equate respective side ratios in both triangles.

Since we don't know BD , BC let us take first equality and plugin the variables given in respective sides.

Cross multiply

Hence proved.
Answer:
(d-2) <-1
Step-by-step explanation:
The number be d. d minus 2 means (d-2).
(d-2) is less than -1.
It means,
(d-2) <-1
It is the required inequality.
So,
Adding 1 both sides.
d-2+1 <-1+1
d-1<0
or
d<1
Hence, this is the required solution.