Answer:
Step-by-step explanation:
Before giving the exterior angles, find the third angle. A triangle (all triangles) measure 180 degrees.
35 + 80 + x = 180
115 + x = 180
x = 180 - 115
x = 65
Exterior angles are supplements of the interior angles.
So the exterior angle to 65 degrees is 180 - 65 = 115
And the exterior angle to 35 degrees is 180-35 = 145
The exterior angle to 80 degrees is 180 - 100 = 80
The <u>congruency theorem</u> gives you an opportunity to prove that <u>two triangles</u> are <u>congruent</u>.
Consider triangles WUT and VTU. In these triangles:
- WU≅VT (given);
- ∠T≅∠U, m∠T=m∠U=90° (from the diagram);
- side TU is common.
Note that triangles WUT and VTU are right triangles, because m∠T=m∠U=90°. Side TU is common leg and sides WU and VT are hypotenuses.
HL theorem states: if the hypotenuse (WU) and one leg (TU) of a right triangle (ΔWUT) are congruent to the hypotenuse (VT) and one leg (TU) of another right triangle (ΔVTU), then the triangles are congruent.
Answer: correct choice is B
3x + 4(3x+17) = 8
3x + 12x + 68 = 8
15x = - 60
x = - 4
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Answer:
C=2πr=2·π·41≈257.6106
Step-by-step explanation:
Answer: Angle 1 is 36
Angle 2 is 54
Step-by-step explanation:
x+18+3x=90
4x+18=90
4x=72
x=18
18+18=36
18*3=54
