What is the measure of angle x? Enter your answer in the box. m∠x=
2 answers:
Answer:
Measure of angle x is 47°.
Step-by-step explanation:
We are given a triangle with measure of two angles given as 102° and 31°.
We have to find the value of third angle .
Angle sum property of a triangle states that the sum of angles of a triangle is always 180°
Lets name the triangle first as ΔABC,
Applying angle sum property
∠A + ∠B + ∠C = 180°
Substitute the values, we get,
x°+ 102° + 31° = 180°
x°+ 133° = 180°
x°= 180° - 133°
x° = 47°
Thus, measure of angle x is 47°.
You might be interested in
Answer:
Step-by-step explanation:
This triangle has a small square, which represents a right angle. Therefore, we can use the Pythagorean Theorem.
Where <em>a</em> and <em>b </em> are the legs of the triangle and <em>c</em> is the hypotenuse.
In this triangle, 7 and √15 are the legs, because these sides make up the right angle. The unknown side is the hypotenuse, because it is opposite the right angle. So, we know two values:
Substitute these values into the formula.
Solve the exponents.
- (7)²= 7*7=49
- (√15)²=√15*√15=15
Add.
Since we are solving for c, we must isolate the variable. It is being squared and the inverse of a square is the square root. Take the square root of both sides.
The third side length is <u>8.</u>