Draw and label a figure to represent the congruent triangle. Then find X and Y. Triangle YXZ congruent triangle CAB, m<Y=3y+30, m<Z=4x-100, m<B=3x-30, m<C=10y-40.
since corresponding angles are congruent, we have
3y+30 = 10y-40
4x-100 = 3x-30
Now just crank it out.
Thanks so much. Now i understand veey well
Draw the conguent triangles and label the parts
Given; Triangle ABC congruent triangle DEF
To draw a figure representing the congruent triangle, we would need more information about the positions and lengths of the sides and angles.
However, I can help you find the values of X and Y based on the given angle measurements.
We are given that triangle YXZ is congruent to triangle CAB. This means that the corresponding angles and sides of both triangles are equal.
From the given measurements, we have:
- Angle Y = 3y + 30
- Angle Z = 4x - 100
- Angle B = 3x - 30
- Angle C = 10y - 40
Since triangle YXZ is congruent to triangle CAB, we know that:
Angle C = Angle Y,
Angle B = Angle X,
and Angle A = Angle Z.
Setting up the equations, we have:
10y - 40 = 3y + 30
10y - 3y = 30 + 40
7y = 70
y = 10
3x - 30 = 4x - 100
100 - 30 = 4x - 3x
70 = x
Therefore, X = 70 and Y = 10.