Let x be the measure of the exterior angle.
In the triangle,
using angle sum property, we have,
t + (t + 10) + (t + 20) = 180
=> t + t + 10 + t + 20 = 180
=> 3t + 30 = 180
=> 3t = 180 - 30
=> t = 150/3
=> t = 50
t° = 50°
(t+10)°= (50 + 10)° = 60°
(t+20)° = (50 + 20)° = 70°
now,
x° = (t+10)° + t° [by exterior angle property]
= 60° + 50°
= 110°
therefore the measure of the exterior angle is 110°
Answer:
For "I have a Dream", it is focused on America as a whole and to one day have people of all races to be treated equally. Letter from a Birmingham Jail was focused more on a group of white clergy.
Solution:
<u>It should be noted:</u>
- Opposite sides of a rhombus are always equal.
- Opposite angles of a rhombus are always equal.
<u>Thus:</u>
- (-y - 10) = 90°
- 3z - 3 = 90°
- 4x - 2 = 90°
<u>Finding x:</u>
- 4x - 2 = 90°
- => 4x = 90 + 2
- => 4x = 92
- => x = 23
<u>Finding y:</u>
- (-y - 10) = 90°
- => -y - 10 = 90°
- => -y = 100
- => y = -100
<u>Finding z:</u>
- 3z - 3 = 90°
- => 3z = 90 + 3
- => 3z = 93
- => z = 31
