Answer:
50°
Step-by-step explanation:
x+15+2x=90
3x=90-15=75
x=75/3=25
one acute angle=25+15=40°
other acute angle=2×25=50°
Answer:
65
Step-by-step explanation:
They are vertical angles; so angles are congruent
*<em>Vertical angles are always congruent*</em>
<em>Congruent means equal or same.</em>
1) Since they are congruent, you form an equation.
<h2>
145 = 2x + 15</h2>
2) Solve by subtracting 15 from both sides.
<h2>
145 = 2x + 15</h2><h2>
- 15 -15</h2><h2>
----------------------</h2><h2>
130 = 2x</h2>
3) Solve by dividing 2 from both sides
<h2>
130/2 = 2x/2</h2>
4) Simplify
x = 65
Given:
The figure of a circle.
To find:
The measure of arc AD and measure of each arc.
Solution:
The measure of arc is equal to the central angle of that arc.
The central angle of arc AD is 105 degrees. So,

The central angle of arc BC is 35 degrees. So,

The central angle of arc CD is 50 degrees. So,

The central angle of a complete circle is 360 degrees. So,





Therefore, the measure of arc AD is 105°, the measure of arc BC is 35°, the measure of arc CD is 50° and the measure of arc AB is 170°
Answer:
24
Step-by-step explanation:
When you are finding a percent of something, you need to move the decimal over to the left twice in the percentage. Like this:
20% = .20
Then, just multiply that by the number you are trying to find the percent of.
.20 x 120 = 24
135/100÷125/100
135/100×100/125
100cancel 100,it remains 135/125
135/÷5/125÷5
27/25=10.8