Given: measure angle upper R upper S upper T equals 5 x degrees and measure angle upper U upper V upper W equals 7 x degrees
angle upper R upper S upper T and angle upper U upper V upper Ware supplementary
Prove: x =15
Statement Reason
measure angle upper R upper S upper T equals 5 x degrees and measure angle upper U upper V upper W equals 7 x degrees
angle upper R upper S upper Tand angle upper U upper V upper Ware supplementary
given
The measure of angle RST plus the measure of angle UVW equals 180. definition of supplementary angles
5x + 7x = 180 a._______________
12x = 180 b._______________
x=15 c._______________
a. Substitution
b. Simplification
c. Division
geez, @Kiddo - can't you just type what you want? As in
Given: m∠RST = 5x° and m∠UVW = 7x°
and ∠RST and ∠UVW are supplementary
Prove: x =15
...
Statement Reason
measure angle RST = 5x degrees and measure angle UVW = 7x degrees given
angle RST and angle UVW are supplementary given
The measure of angle RST plus the measure of angle UVW equals 180 definition of supplementary angles
5x + 7x = 180 a._______________
12x = 180 b._______________
x=15 c._______________
To prove that x = 15, we need to follow the given statements and reasons provided:
1. The measure of angle RST is 5x degrees and the measure of angle UVW is 7x degrees - Given.
2. Angle RST and angle UVW are supplementary - Given.
3. The measure of angle RST plus the measure of angle UVW equals 180 degrees - Definition of supplementary angles.
4. 5x + 7x = 180 - From statement 3, we can substitute the measures of the angles with their corresponding variables.
5. 12x = 180 - Simplify the equation by combining like terms.
6. x = 15 - Solve for x by dividing both sides of the equation by 12.
Therefore, we have proven that x = 15.