Answer:
m∠1 = 70
Step-by-step explanation:
A line is 180 degrees
The angles of a triangle total to 180 degrees
180 - 101 = 79
79 + 31 = 110
180 - 110 = 70
Answer:
x= 4
Step-by-step explanation:
The two triangles are similar so the ratios of both should be the same. Triangle DEF is 15 times bigger than triangle ABC so 60 divided by 15 is 4. Moral of the story 4 equals X
Answer: 280 cm
Step-by-step explanation:
The base of each of the congruent triangles ABD and CBD is BD= 28 cm. The height of each is the perpendicular 10cm.
A=(2)(bh/2) works out to A= bh since the 2/2 cancel
So 10cm × 28cm = 280cm²
Answer:
see explanation
Step-by-step explanation:
(a)
The angles are vertical and congruent, that is
x - 10 = 125 ( add 10 to both sides )
x = 135
-------------------------------------------------
(b)
Supplementary angles sum to 180°
The angles are in the ratio 2 : 3 = 2x : 3x ( x is a multiplier ), then
2x + 3x = 180
5x = 180 ( divide both sides by 5 )
x = 36
thus
2x = 2 × 36 = 72
3x = 3 × 36 = 108
Then the 2 angles are 72° and 108°
