Answer:
Step-by-step explanation:
Angles 3x+5, 75 and x all together make up 180 degrees (review "straight angles").
Thus, 3x + 5 + 75 + x = 180
Simplifying the left side, we get:
4x + 80 = 180, so that 4x = 100, and x = 25.
<KJL = 3(25) + 5 = 80 degrees
<NJM = 25 degrees
<MJL = 75 degrees
Numbers that can be greater than .05 and less than .06 is .051 through .059 due to its place value.
Answer:
ABC - AAS
DEF - not enough information
GHI - not enough information
JKL - SAS
Step-by-step explanation:
SAS postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
AAS postulate states that if two angles and the non-included side one triangle are congruent to two angles and the non-included side of another triangle, then these two triangles are congruent.
HL postulate states that if the hypotenuse and leg of one right triangle are congruent to the hypotenuse and leg of another right triangle, then the two triangles are congruent.
ASA postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent.
SSS postulate states that if three sides of one triangle are congruent to three sides of another triangle, then the triangles are congruent.
1. In triangles MNO and ABC, there are two congruent sides and non-included angle - AAS
2. In triangles MNO and DEF, there are two congruent sides - there is not enough information
3. In triangles MNO and GHI, there are three congruent angles - there is not enough information
4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS
