Explanation:
There may be a more direct way to do this, but here's one way. We make no claim that the statements used here are on your menu of statements.
<u>Statement</u> . . . . <u>Reason</u>
2. ∆ADB, ∆ACB are isosceles . . . . definition of isosceles triangle
3. AD ≅ BD
and ∠CAE ≅ ∠CBE . . . . definition of isosceles triangle
4. ∠CAE = ∠CAD +∠DAE
and ∠CBE = ∠CBD +∠DBE . . . . angle addition postulate
5. ∠CAD +∠DAE ≅ ∠CBD +∠DBE . . . . substitution property of equality
6. ∠CAD +∠DAE ≅ ∠CBD +∠DAE . . . . substitution property of equality
7. ∠CAD ≅ ∠CBD . . . . subtraction property of equality
8. ∆CAD ≅ ∆CBD . . . . SAS congruence postulate
9. ∠ACD ≅ ∠BCD . . . . CPCTC
10. DC bisects ∠ACB . . . . definition of angle bisector
Ten hundredths: 10/100 = 1/10
Simplifies to: 0.1 (one-tenth)
Answer:
The answer for me would be B
Step-by-step explanation:
Step-by-step explanation:
1. 51-x-5
= 46-x Answer
2. 21-24
= -3 Answer
1) Angle T = 72°
Angle U = 54°
2) Angle M = 76°
Angle N = 76°
<em>Explanation</em><em>:</em><em> </em>
<em> </em> 1. Isosceles triangle (since 2 sides are equal)
Angle U = Angle S = 54° (equal sides of a traingle have equal angles)
angle U + angle S + angle T =180 (Angle sum Property)
54° + 54° + angle T = 180°
108 + angle T = 180°
Angle T = 180 - 108
= 72°
2. Isosceles triangle again (same properties)
angle L + angle M + angle N = 180
28 + angle M + angle N = 180
angle M + angle N = 180 - 28
angle M + angle N = 152
"angle M and N will be equal since it is
isosceles triangle"
so, 2x (M&N) = 152
x = 152 ÷ 2
= 76
therefore angle M = angle N = 76°
